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Finding the Fourth Proportional to 15,229.68, 22,845.84 and 5,874.24

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Solution

The fourth proportional to 15,229.68, 22,845.84 and 5,874.24 is: 8,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,229.68 : 22,845.84 = 5,874.24 : x
  2. Step 2: Convert to fraction form
    15,229.68/22,845.84 = 5,874.24/x
  3. Step 3: Cross multiply
    15,229.68x = 22,845.84 × 5,874.24
  4. Step 4: Simplify right side
    15,229.68x = 134,201,947.16
  5. Step 5: Solve for x
    x = 134,201,947.16/15,229.68
  6. Step 6: Final answer
    x = 8,811.87

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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.