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Finding the Fourth Proportional to 17,614.17, 24,308.37 and 9,657

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Solution

The fourth proportional to 17,614.17, 24,308.37 and 9,657 is: 13,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.17 : 24,308.37 = 9,657 : x
  2. Step 2: Convert to fraction form
    17,614.17/24,308.37 = 9,657/x
  3. Step 3: Cross multiply
    17,614.17x = 24,308.37 × 9,657
  4. Step 4: Simplify right side
    17,614.17x = 234,745,929.09
  5. Step 5: Solve for x
    x = 234,745,929.09/17,614.17
  6. Step 6: Final answer
    x = 13,327.11

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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.