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Finding the Fourth Proportional to 13,654.70, 20,481.87 and 7,454.21

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Solution

The fourth proportional to 13,654.70, 20,481.87 and 7,454.21 is: 11,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.70 : 20,481.87 = 7,454.21 : x
  2. Step 2: Convert to fraction form
    13,654.70/20,481.87 = 7,454.21/x
  3. Step 3: Cross multiply
    13,654.70x = 20,481.87 × 7,454.21
  4. Step 4: Simplify right side
    13,654.70x = 152,676,160.17
  5. Step 5: Solve for x
    x = 152,676,160.17/13,654.70
  6. Step 6: Final answer
    x = 11,181.22

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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.