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Finding the Fourth Proportional to 20,188.64, 27,855.96 and 12,231.20

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Solution

The fourth proportional to 20,188.64, 27,855.96 and 12,231.20 is: 16,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.64 : 27,855.96 = 12,231.20 : x
  2. Step 2: Convert to fraction form
    20,188.64/27,855.96 = 12,231.20/x
  3. Step 3: Cross multiply
    20,188.64x = 27,855.96 × 12,231.20
  4. Step 4: Simplify right side
    20,188.64x = 340,711,817.95
  5. Step 5: Solve for x
    x = 340,711,817.95/20,188.64
  6. Step 6: Final answer
    x = 16,876.41

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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.