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Finding the Fourth Proportional to 17,538.66, 24,203.00 and 9,580.82

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Solution

The fourth proportional to 17,538.66, 24,203.00 and 9,580.82 is: 13,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.66 : 24,203.00 = 9,580.82 : x
  2. Step 2: Convert to fraction form
    17,538.66/24,203.00 = 9,580.82/x
  3. Step 3: Cross multiply
    17,538.66x = 24,203.00 × 9,580.82
  4. Step 4: Simplify right side
    17,538.66x = 231,884,489.40
  5. Step 5: Solve for x
    x = 231,884,489.40/17,538.66
  6. Step 6: Final answer
    x = 13,221.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.