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Finding the Fourth Proportional to 24,154.80, 33,331.80 and 13,542

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Solution

The fourth proportional to 24,154.80, 33,331.80 and 13,542 is: 18,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.80 : 33,331.80 = 13,542 : x
  2. Step 2: Convert to fraction form
    24,154.80/33,331.80 = 13,542/x
  3. Step 3: Cross multiply
    24,154.80x = 33,331.80 × 13,542
  4. Step 4: Simplify right side
    24,154.80x = 451,379,235.60
  5. Step 5: Solve for x
    x = 451,379,235.60/24,154.80
  6. Step 6: Final answer
    x = 18,686.94

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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.