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Finding the Fourth Proportional to 24,540.40, 36,737.70 and 16,229.80

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Solution

The fourth proportional to 24,540.40, 36,737.70 and 16,229.80 is: 24,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540.40 : 36,737.70 = 16,229.80 : x
  2. Step 2: Convert to fraction form
    24,540.40/36,737.70 = 16,229.80/x
  3. Step 3: Cross multiply
    24,540.40x = 36,737.70 × 16,229.80
  4. Step 4: Simplify right side
    24,540.40x = 596,245,523.46
  5. Step 5: Solve for x
    x = 596,245,523.46/24,540.40
  6. Step 6: Final answer
    x = 24,296.49

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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.