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Finding the Fourth Proportional to 20,129.91, 27,774.80 and 12,171.96

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Solution

The fourth proportional to 20,129.91, 27,774.80 and 12,171.96 is: 16,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.91 : 27,774.80 = 12,171.96 : x
  2. Step 2: Convert to fraction form
    20,129.91/27,774.80 = 12,171.96/x
  3. Step 3: Cross multiply
    20,129.91x = 27,774.80 × 12,171.96
  4. Step 4: Simplify right side
    20,129.91x = 338,073,693.75
  5. Step 5: Solve for x
    x = 338,073,693.75/20,129.91
  6. Step 6: Final answer
    x = 16,794.60

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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.