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Finding the Fourth Proportional to 13,792.01, 20,680.31 and 8,171.96

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Solution

The fourth proportional to 13,792.01, 20,680.31 and 8,171.96 is: 12,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.01 : 20,680.31 = 8,171.96 : x
  2. Step 2: Convert to fraction form
    13,792.01/20,680.31 = 8,171.96/x
  3. Step 3: Cross multiply
    13,792.01x = 20,680.31 × 8,171.96
  4. Step 4: Simplify right side
    13,792.01x = 168,998,583.14
  5. Step 5: Solve for x
    x = 168,998,583.14/13,792.01
  6. Step 6: Final answer
    x = 12,253.37

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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.