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Finding the Fourth Proportional to 27,901.38, 41,847.42 and 9,181.62

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Solution

The fourth proportional to 27,901.38, 41,847.42 and 9,181.62 is: 13,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.38 : 41,847.42 = 9,181.62 : x
  2. Step 2: Convert to fraction form
    27,901.38/41,847.42 = 9,181.62/x
  3. Step 3: Cross multiply
    27,901.38x = 41,847.42 × 9,181.62
  4. Step 4: Simplify right side
    27,901.38x = 384,227,108.42
  5. Step 5: Solve for x
    x = 384,227,108.42/27,901.38
  6. Step 6: Final answer
    x = 13,770.90

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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.