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Finding the Fourth Proportional to 15,446.46, 23,151.46 and 5,578.24

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Solution

The fourth proportional to 15,446.46, 23,151.46 and 5,578.24 is: 8,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.46 : 23,151.46 = 5,578.24 : x
  2. Step 2: Convert to fraction form
    15,446.46/23,151.46 = 5,578.24/x
  3. Step 3: Cross multiply
    15,446.46x = 23,151.46 × 5,578.24
  4. Step 4: Simplify right side
    15,446.46x = 129,144,400.23
  5. Step 5: Solve for x
    x = 129,144,400.23/15,446.46
  6. Step 6: Final answer
    x = 8,360.78

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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.