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Finding the Fourth Proportional to 20,177.92, 27,842.86 and 11,223.64

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Solution

The fourth proportional to 20,177.92, 27,842.86 and 11,223.64 is: 15,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.92 : 27,842.86 = 11,223.64 : x
  2. Step 2: Convert to fraction form
    20,177.92/27,842.86 = 11,223.64/x
  3. Step 3: Cross multiply
    20,177.92x = 27,842.86 × 11,223.64
  4. Step 4: Simplify right side
    20,177.92x = 312,498,237.21
  5. Step 5: Solve for x
    x = 312,498,237.21/20,177.92
  6. Step 6: Final answer
    x = 15,487.14

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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.