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Finding the Fourth Proportional to 27,147.20, 40,709.87 and 11,341.88

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Solution

The fourth proportional to 27,147.20, 40,709.87 and 11,341.88 is: 17,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.20 : 40,709.87 = 11,341.88 : x
  2. Step 2: Convert to fraction form
    27,147.20/40,709.87 = 11,341.88/x
  3. Step 3: Cross multiply
    27,147.20x = 40,709.87 × 11,341.88
  4. Step 4: Simplify right side
    27,147.20x = 461,726,200.10
  5. Step 5: Solve for x
    x = 461,726,200.10/27,147.20
  6. Step 6: Final answer
    x = 17,008.24

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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.