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Finding the Fourth Proportional to 27,882.20, 41,855.70 and 16,801.40

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Solution

The fourth proportional to 27,882.20, 41,855.70 and 16,801.40 is: 25,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.20 : 41,855.70 = 16,801.40 : x
  2. Step 2: Convert to fraction form
    27,882.20/41,855.70 = 16,801.40/x
  3. Step 3: Cross multiply
    27,882.20x = 41,855.70 × 16,801.40
  4. Step 4: Simplify right side
    27,882.20x = 703,234,357.98
  5. Step 5: Solve for x
    x = 703,234,357.98/27,882.20
  6. Step 6: Final answer
    x = 25,221.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.