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Finding the Fourth Proportional to 27,838.54, 41,759.82 and 11,198.68

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Solution

The fourth proportional to 27,838.54, 41,759.82 and 11,198.68 is: 16,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.54 : 41,759.82 = 11,198.68 : x
  2. Step 2: Convert to fraction form
    27,838.54/41,759.82 = 11,198.68/x
  3. Step 3: Cross multiply
    27,838.54x = 41,759.82 × 11,198.68
  4. Step 4: Simplify right side
    27,838.54x = 467,654,861.04
  5. Step 5: Solve for x
    x = 467,654,861.04/27,838.54
  6. Step 6: Final answer
    x = 16,798.83

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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.