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Finding the Fourth Proportional to 24,542.40, 36,740.70 and 16,231.80

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Solution

The fourth proportional to 24,542.40, 36,740.70 and 16,231.80 is: 24,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.40 : 36,740.70 = 16,231.80 : x
  2. Step 2: Convert to fraction form
    24,542.40/36,740.70 = 16,231.80/x
  3. Step 3: Cross multiply
    24,542.40x = 36,740.70 × 16,231.80
  4. Step 4: Simplify right side
    24,542.40x = 596,367,694.26
  5. Step 5: Solve for x
    x = 596,367,694.26/24,542.40
  6. Step 6: Final answer
    x = 24,299.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.