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The short of all this is Peter was preaching to Jewish People who had a ritual of purification by the authority of Jesus.
Ezekiel 36:25
Then I will sprinkle pure water on you and make you pure. I will wash away all your filth, the filth from those nasty idols, and I will make you pure.
Hebrews 9:13
The blood of goats and bulls and the ashes of a cow were sprinkled on those who were no longer pure enough to enter the place of worship. The blood and ashes made them pure again—but only their bodies.
Hebrews 10:22
Sprinkled with the blood of Christ, our hearts have been made free from a guilty conscience, and our bodies have been washed with pure water. So come near to God with a sincere heart, full of confidence because of our faith in Christ.
Ezekiel 36:25
Then I will sprinkle pure water on you and make you pure. I will wash away all your filth, the filth from those nasty idols, and I will make you pure.
Hebrews 9:13
The blood of goats and bulls and the ashes of a cow were sprinkled on those who were no longer pure enough to enter the place of worship. The blood and ashes made them pure again—but only their bodies.
Hebrews 10:22
Sprinkled with the blood of Christ, our hearts have been made free from a guilty conscience, and our bodies have been washed with pure water. So come near to God with a sincere heart, full of confidence because of our faith in Christ.
wayer was always a symbol pointing to the washing of God which pointed to the cross. not some baptismal water