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Finding the Fourth Proportional to 20,081, 27,711.13 and 12,121.84

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Solution

The fourth proportional to 20,081, 27,711.13 and 12,121.84 is: 16,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081 : 27,711.13 = 12,121.84 : x
  2. Step 2: Convert to fraction form
    20,081/27,711.13 = 12,121.84/x
  3. Step 3: Cross multiply
    20,081x = 27,711.13 × 12,121.84
  4. Step 4: Simplify right side
    20,081x = 335,909,884.08
  5. Step 5: Solve for x
    x = 335,909,884.08/20,081
  6. Step 6: Final answer
    x = 16,727.75

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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.