The residential rate for natural gas is about $10.34 per thousand cubic foot. Burning one cubic foot of natural gas releases about 1,417 kJ of heat. How much would it cost to heat the water in a 22,217 gallon swimming pool from 49.8F to 75.9F, assuming all of the heat from burning the natural gas went towards warming the water? (1 gal = 3.785 L; the specific heat of water = 4.184 J/gC)