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Finding the Fourth Proportional to 20,177.64, 27,842.92 and 11,679.92

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Solution

The fourth proportional to 20,177.64, 27,842.92 and 11,679.92 is: 16,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.64 : 27,842.92 = 11,679.92 : x
  2. Step 2: Convert to fraction form
    20,177.64/27,842.92 = 11,679.92/x
  3. Step 3: Cross multiply
    20,177.64x = 27,842.92 × 11,679.92
  4. Step 4: Simplify right side
    20,177.64x = 325,203,078.17
  5. Step 5: Solve for x
    x = 325,203,078.17/20,177.64
  6. Step 6: Final answer
    x = 16,117.00

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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.