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Finding the Fourth Proportional to 15,715.68, 23,557.95 and 7,380.78

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Solution

The fourth proportional to 15,715.68, 23,557.95 and 7,380.78 is: 11,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.68 : 23,557.95 = 7,380.78 : x
  2. Step 2: Convert to fraction form
    15,715.68/23,557.95 = 7,380.78/x
  3. Step 3: Cross multiply
    15,715.68x = 23,557.95 × 7,380.78
  4. Step 4: Simplify right side
    15,715.68x = 173,876,046.20
  5. Step 5: Solve for x
    x = 173,876,046.20/15,715.68
  6. Step 6: Final answer
    x = 11,063.86

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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.