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Finding the Fourth Proportional to 20,209.92, 27,889.74 and 11,713.68

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Solution

The fourth proportional to 20,209.92, 27,889.74 and 11,713.68 is: 16,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.92 : 27,889.74 = 11,713.68 : x
  2. Step 2: Convert to fraction form
    20,209.92/27,889.74 = 11,713.68/x
  3. Step 3: Cross multiply
    20,209.92x = 27,889.74 × 11,713.68
  4. Step 4: Simplify right side
    20,209.92x = 326,691,489.64
  5. Step 5: Solve for x
    x = 326,691,489.64/20,209.92
  6. Step 6: Final answer
    x = 16,164.91

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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.