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Finding the Fourth Proportional to 27,169.47, 40,760.07 and 8,449.14

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Solution

The fourth proportional to 27,169.47, 40,760.07 and 8,449.14 is: 12,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169.47 : 40,760.07 = 8,449.14 : x
  2. Step 2: Convert to fraction form
    27,169.47/40,760.07 = 8,449.14/x
  3. Step 3: Cross multiply
    27,169.47x = 40,760.07 × 8,449.14
  4. Step 4: Simplify right side
    27,169.47x = 344,387,537.84
  5. Step 5: Solve for x
    x = 344,387,537.84/27,169.47
  6. Step 6: Final answer
    x = 12,675.53

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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.