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Finding the Fourth Proportional to 24,872.92, 34,323.80 and 13,542.24

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Solution

The fourth proportional to 24,872.92, 34,323.80 and 13,542.24 is: 18,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.92 : 34,323.80 = 13,542.24 : x
  2. Step 2: Convert to fraction form
    24,872.92/34,323.80 = 13,542.24/x
  3. Step 3: Cross multiply
    24,872.92x = 34,323.80 × 13,542.24
  4. Step 4: Simplify right side
    24,872.92x = 464,821,081.42
  5. Step 5: Solve for x
    x = 464,821,081.42/24,872.92
  6. Step 6: Final answer
    x = 18,687.83

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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.