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Finding the Fourth Proportional to 12,591.57, 18,871.20 and 10,640.19

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Solution

The fourth proportional to 12,591.57, 18,871.20 and 10,640.19 is: 15,946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.57 : 18,871.20 = 10,640.19 : x
  2. Step 2: Convert to fraction form
    12,591.57/18,871.20 = 10,640.19/x
  3. Step 3: Cross multiply
    12,591.57x = 18,871.20 × 10,640.19
  4. Step 4: Simplify right side
    12,591.57x = 200,793,153.53
  5. Step 5: Solve for x
    x = 200,793,153.53/12,591.57
  6. Step 6: Final answer
    x = 15,946.63

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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.