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Finding the Fourth Proportional to 20,091.78, 27,727.35 and 12,132.42

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Solution

The fourth proportional to 20,091.78, 27,727.35 and 12,132.42 is: 16,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.78 : 27,727.35 = 12,132.42 : x
  2. Step 2: Convert to fraction form
    20,091.78/27,727.35 = 12,132.42/x
  3. Step 3: Cross multiply
    20,091.78x = 27,727.35 × 12,132.42
  4. Step 4: Simplify right side
    20,091.78x = 336,399,855.69
  5. Step 5: Solve for x
    x = 336,399,855.69/20,091.78
  6. Step 6: Final answer
    x = 16,743.16

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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.