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Finding the Fourth Proportional to 24,737.40, 34,138.92 and 14,129.16

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Solution

The fourth proportional to 24,737.40, 34,138.92 and 14,129.16 is: 19,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.40 : 34,138.92 = 14,129.16 : x
  2. Step 2: Convert to fraction form
    24,737.40/34,138.92 = 14,129.16/x
  3. Step 3: Cross multiply
    24,737.40x = 34,138.92 × 14,129.16
  4. Step 4: Simplify right side
    24,737.40x = 482,354,262.91
  5. Step 5: Solve for x
    x = 482,354,262.91/24,737.40
  6. Step 6: Final answer
    x = 19,498.99

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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.