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Finding the Fourth Proportional to 12,912.92, 19,377.57 and 5,517.43

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Solution

The fourth proportional to 12,912.92, 19,377.57 and 5,517.43 is: 8,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.92 : 19,377.57 = 5,517.43 : x
  2. Step 2: Convert to fraction form
    12,912.92/19,377.57 = 5,517.43/x
  3. Step 3: Cross multiply
    12,912.92x = 19,377.57 × 5,517.43
  4. Step 4: Simplify right side
    12,912.92x = 106,914,386.05
  5. Step 5: Solve for x
    x = 106,914,386.05/12,912.92
  6. Step 6: Final answer
    x = 8,279.64

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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.