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Finding the Fourth Proportional to 24,872.80, 34,324.41 and 13,542.13

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Solution

The fourth proportional to 24,872.80, 34,324.41 and 13,542.13 is: 18,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.80 : 34,324.41 = 13,542.13 : x
  2. Step 2: Convert to fraction form
    24,872.80/34,324.41 = 13,542.13/x
  3. Step 3: Cross multiply
    24,872.80x = 34,324.41 × 13,542.13
  4. Step 4: Simplify right side
    24,872.80x = 464,825,622.39
  5. Step 5: Solve for x
    x = 464,825,622.39/24,872.80
  6. Step 6: Final answer
    x = 18,688.11

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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.