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Finding the Fourth Proportional to 17,614.64, 24,308.17 and 9,657.37

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Solution

The fourth proportional to 17,614.64, 24,308.17 and 9,657.37 is: 13,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.64 : 24,308.17 = 9,657.37 : x
  2. Step 2: Convert to fraction form
    17,614.64/24,308.17 = 9,657.37/x
  3. Step 3: Cross multiply
    17,614.64x = 24,308.17 × 9,657.37
  4. Step 4: Simplify right side
    17,614.64x = 234,753,052.28
  5. Step 5: Solve for x
    x = 234,753,052.28/17,614.64
  6. Step 6: Final answer
    x = 13,327.16

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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.