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Finding the Fourth Proportional to 13,654.82, 20,487.17 and 4,771.46

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Solution

The fourth proportional to 13,654.82, 20,487.17 and 4,771.46 is: 7,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.82 : 20,487.17 = 4,771.46 : x
  2. Step 2: Convert to fraction form
    13,654.82/20,487.17 = 4,771.46/x
  3. Step 3: Cross multiply
    13,654.82x = 20,487.17 × 4,771.46
  4. Step 4: Simplify right side
    13,654.82x = 97,753,775.31
  5. Step 5: Solve for x
    x = 97,753,775.31/13,654.82
  6. Step 6: Final answer
    x = 7,158.92

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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.