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Finding the Fourth Proportional to 24,542.48, 36,834.72 and 9,761.80

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Solution

The fourth proportional to 24,542.48, 36,834.72 and 9,761.80 is: 14,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.48 : 36,834.72 = 9,761.80 : x
  2. Step 2: Convert to fraction form
    24,542.48/36,834.72 = 9,761.80/x
  3. Step 3: Cross multiply
    24,542.48x = 36,834.72 × 9,761.80
  4. Step 4: Simplify right side
    24,542.48x = 359,573,169.70
  5. Step 5: Solve for x
    x = 359,573,169.70/24,542.48
  6. Step 6: Final answer
    x = 14,651.05

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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.