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Finding the Fourth Proportional to 24,156.33, 36,229.87 and 7,516.57

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Solution

The fourth proportional to 24,156.33, 36,229.87 and 7,516.57 is: 11,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,156.33 : 36,229.87 = 7,516.57 : x
  2. Step 2: Convert to fraction form
    24,156.33/36,229.87 = 7,516.57/x
  3. Step 3: Cross multiply
    24,156.33x = 36,229.87 × 7,516.57
  4. Step 4: Simplify right side
    24,156.33x = 272,324,353.95
  5. Step 5: Solve for x
    x = 272,324,353.95/24,156.33
  6. Step 6: Final answer
    x = 11,273.42

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