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Finding the Fourth Proportional to 20,138.98, 27,780.42 and 12,178.30

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Solution

The fourth proportional to 20,138.98, 27,780.42 and 12,178.30 is: 16,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.98 : 27,780.42 = 12,178.30 : x
  2. Step 2: Convert to fraction form
    20,138.98/27,780.42 = 12,178.30/x
  3. Step 3: Cross multiply
    20,138.98x = 27,780.42 × 12,178.30
  4. Step 4: Simplify right side
    20,138.98x = 338,318,288.89
  5. Step 5: Solve for x
    x = 338,318,288.89/20,138.98
  6. Step 6: Final answer
    x = 16,799.18

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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.