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Finding the Fourth Proportional to 20,115.33, 27,759.90 and 12,156

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Solution

The fourth proportional to 20,115.33, 27,759.90 and 12,156 is: 16,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.33 : 27,759.90 = 12,156 : x
  2. Step 2: Convert to fraction form
    20,115.33/27,759.90 = 12,156/x
  3. Step 3: Cross multiply
    20,115.33x = 27,759.90 × 12,156
  4. Step 4: Simplify right side
    20,115.33x = 337,449,344.40
  5. Step 5: Solve for x
    x = 337,449,344.40/20,115.33
  6. Step 6: Final answer
    x = 16,775.73

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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.