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Finding the Fourth Proportional to 24,874.38, 34,325.52 and 13,543.59

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Solution

The fourth proportional to 24,874.38, 34,325.52 and 13,543.59 is: 18,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874.38 : 34,325.52 = 13,543.59 : x
  2. Step 2: Convert to fraction form
    24,874.38/34,325.52 = 13,543.59/x
  3. Step 3: Cross multiply
    24,874.38x = 34,325.52 × 13,543.59
  4. Step 4: Simplify right side
    24,874.38x = 464,890,769.42
  5. Step 5: Solve for x
    x = 464,890,769.42/24,874.38
  6. Step 6: Final answer
    x = 18,689.54

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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.