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Finding the Fourth Proportional to 24,915, 34,382.70 and 13,737

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Solution

The fourth proportional to 24,915, 34,382.70 and 13,737 is: 18,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,915 : 34,382.70 = 13,737 : x
  2. Step 2: Convert to fraction form
    24,915/34,382.70 = 13,737/x
  3. Step 3: Cross multiply
    24,915x = 34,382.70 × 13,737
  4. Step 4: Simplify right side
    24,915x = 472,315,149.90
  5. Step 5: Solve for x
    x = 472,315,149.90/24,915
  6. Step 6: Final answer
    x = 18,957.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.