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Finding the Fourth Proportional to 13,853.38, 20,787.74 and 8,591.21

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Solution

The fourth proportional to 13,853.38, 20,787.74 and 8,591.21 is: 12,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.38 : 20,787.74 = 8,591.21 : x
  2. Step 2: Convert to fraction form
    13,853.38/20,787.74 = 8,591.21/x
  3. Step 3: Cross multiply
    13,853.38x = 20,787.74 × 8,591.21
  4. Step 4: Simplify right side
    13,853.38x = 178,591,919.97
  5. Step 5: Solve for x
    x = 178,591,919.97/13,853.38
  6. Step 6: Final answer
    x = 12,891.58

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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.