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Finding the Fourth Proportional to 20,149.44, 27,812.16 and 11,767.92

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Solution

The fourth proportional to 20,149.44, 27,812.16 and 11,767.92 is: 16,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.44 : 27,812.16 = 11,767.92 : x
  2. Step 2: Convert to fraction form
    20,149.44/27,812.16 = 11,767.92/x
  3. Step 3: Cross multiply
    20,149.44x = 27,812.16 × 11,767.92
  4. Step 4: Simplify right side
    20,149.44x = 327,291,273.91
  5. Step 5: Solve for x
    x = 327,291,273.91/20,149.44
  6. Step 6: Final answer
    x = 16,243.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.