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Finding the Fourth Proportional to 17,717.92, 24,451.84 and 9,760.12

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Solution

The fourth proportional to 17,717.92, 24,451.84 and 9,760.12 is: 13,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.92 : 24,451.84 = 9,760.12 : x
  2. Step 2: Convert to fraction form
    17,717.92/24,451.84 = 9,760.12/x
  3. Step 3: Cross multiply
    17,717.92x = 24,451.84 × 9,760.12
  4. Step 4: Simplify right side
    17,717.92x = 238,652,892.62
  5. Step 5: Solve for x
    x = 238,652,892.62/17,717.92
  6. Step 6: Final answer
    x = 13,469.58

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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.