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Finding the Fourth Proportional to 27,482.80, 41,227.49 and 9,709.78

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Solution

The fourth proportional to 27,482.80, 41,227.49 and 9,709.78 is: 14,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.80 : 41,227.49 = 9,709.78 : x
  2. Step 2: Convert to fraction form
    27,482.80/41,227.49 = 9,709.78/x
  3. Step 3: Cross multiply
    27,482.80x = 41,227.49 × 9,709.78
  4. Step 4: Simplify right side
    27,482.80x = 400,309,857.85
  5. Step 5: Solve for x
    x = 400,309,857.85/27,482.80
  6. Step 6: Final answer
    x = 14,565.83

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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.