$2\mathrm{.}73$ A father decides to establish a savings account for his child's college education on the day his baby is born. Any money put into the account will earn an interest rate of $10\%$ compounded annually. The father will make a series of annual deposits in equal amounts from the $1$st birthday through the $18$th birthday so that the child can make four annual withdrawals from the account in the amount of $$25,000$ on each of his $18$th$,19$th$,20$th$,$ and $21$ st birthdays. Assuming that the first withdrawal will be made on the child's $18$ th birthday, calculate the required annual deposit $A.$