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Finding the Fourth Proportional to 24,854.73, 34,299.50 and 13,524.20

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Solution

The fourth proportional to 24,854.73, 34,299.50 and 13,524.20 is: 18,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.73 : 34,299.50 = 13,524.20 : x
  2. Step 2: Convert to fraction form
    24,854.73/34,299.50 = 13,524.20/x
  3. Step 3: Cross multiply
    24,854.73x = 34,299.50 × 13,524.20
  4. Step 4: Simplify right side
    24,854.73x = 463,873,297.90
  5. Step 5: Solve for x
    x = 463,873,297.90/24,854.73
  6. Step 6: Final answer
    x = 18,663.38

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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.