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Finding the Fourth Proportional to 20,182.78, 27,841.80 and 11,794.42

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Solution

The fourth proportional to 20,182.78, 27,841.80 and 11,794.42 is: 16,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.78 : 27,841.80 = 11,794.42 : x
  2. Step 2: Convert to fraction form
    20,182.78/27,841.80 = 11,794.42/x
  3. Step 3: Cross multiply
    20,182.78x = 27,841.80 × 11,794.42
  4. Step 4: Simplify right side
    20,182.78x = 328,377,882.76
  5. Step 5: Solve for x
    x = 328,377,882.76/20,182.78
  6. Step 6: Final answer
    x = 16,270.20

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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.