Use Table $12-2$ to solve.

Analysts at Sky West Airlines did a $3$ year projection of expenses. They calculated that the company will need $$15,400$ at the beginning of each $6$ month period to buy fuel, oil, lube, and parts for aircraft operations and maintenance. Sky West can get $4\%$ interest compounded semiannually from its bank. How much $($in $$)$ should Sky West deposit now to support the next $3$ years of operations and maintenance expenses? $($Round your answer to the nearest cent.$)$

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