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Finding the Fourth Proportional to 24,766.33, 37,149.11 and 9,974.86

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Solution

The fourth proportional to 24,766.33, 37,149.11 and 9,974.86 is: 14,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766.33 : 37,149.11 = 9,974.86 : x
  2. Step 2: Convert to fraction form
    24,766.33/37,149.11 = 9,974.86/x
  3. Step 3: Cross multiply
    24,766.33x = 37,149.11 × 9,974.86
  4. Step 4: Simplify right side
    24,766.33x = 370,557,121.50
  5. Step 5: Solve for x
    x = 370,557,121.50/24,766.33
  6. Step 6: Final answer
    x = 14,962.13

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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.