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Finding the Fourth Proportional to 24,863.38, 34,311.52 and 13,685.38

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Solution

The fourth proportional to 24,863.38, 34,311.52 and 13,685.38 is: 18,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863.38 : 34,311.52 = 13,685.38 : x
  2. Step 2: Convert to fraction form
    24,863.38/34,311.52 = 13,685.38/x
  3. Step 3: Cross multiply
    24,863.38x = 34,311.52 × 13,685.38
  4. Step 4: Simplify right side
    24,863.38x = 469,566,189.58
  5. Step 5: Solve for x
    x = 469,566,189.58/24,863.38
  6. Step 6: Final answer
    x = 18,885.86

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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.