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Finding the Fourth Proportional to 13,640.52, 20,470.50 and 5,851.56

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Solution

The fourth proportional to 13,640.52, 20,470.50 and 5,851.56 is: 8,781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.52 : 20,470.50 = 5,851.56 : x
  2. Step 2: Convert to fraction form
    13,640.52/20,470.50 = 5,851.56/x
  3. Step 3: Cross multiply
    13,640.52x = 20,470.50 × 5,851.56
  4. Step 4: Simplify right side
    13,640.52x = 119,784,358.98
  5. Step 5: Solve for x
    x = 119,784,358.98/13,640.52
  6. Step 6: Final answer
    x = 8,781.51

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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.