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Finding the Fourth Proportional to 17,538.59, 24,203.78 and 9,581.32

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Solution

The fourth proportional to 17,538.59, 24,203.78 and 9,581.32 is: 13,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.59 : 24,203.78 = 9,581.32 : x
  2. Step 2: Convert to fraction form
    17,538.59/24,203.78 = 9,581.32/x
  3. Step 3: Cross multiply
    17,538.59x = 24,203.78 × 9,581.32
  4. Step 4: Simplify right side
    17,538.59x = 231,904,221.90
  5. Step 5: Solve for x
    x = 231,904,221.90/17,538.59
  6. Step 6: Final answer
    x = 13,222.52

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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.