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Finding the Fourth Proportional to 13,451.67, 20,177.10 and 3,591.74

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Solution

The fourth proportional to 13,451.67, 20,177.10 and 3,591.74 is: 5,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451.67 : 20,177.10 = 3,591.74 : x
  2. Step 2: Convert to fraction form
    13,451.67/20,177.10 = 3,591.74/x
  3. Step 3: Cross multiply
    13,451.67x = 20,177.10 × 3,591.74
  4. Step 4: Simplify right side
    13,451.67x = 72,470,947.60
  5. Step 5: Solve for x
    x = 72,470,947.60/13,451.67
  6. Step 6: Final answer
    x = 5,387.51

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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.