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Finding the Fourth Proportional to 24,854.52, 34,299.38 and 13,524.10

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Solution

The fourth proportional to 24,854.52, 34,299.38 and 13,524.10 is: 18,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.52 : 34,299.38 = 13,524.10 : x
  2. Step 2: Convert to fraction form
    24,854.52/34,299.38 = 13,524.10/x
  3. Step 3: Cross multiply
    24,854.52x = 34,299.38 × 13,524.10
  4. Step 4: Simplify right side
    24,854.52x = 463,868,193.12
  5. Step 5: Solve for x
    x = 463,868,193.12/24,854.52
  6. Step 6: Final answer
    x = 18,663.33

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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.