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Finding the Fourth Proportional to 27,416.28, 41,115.92 and 9,883.84

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Solution

The fourth proportional to 27,416.28, 41,115.92 and 9,883.84 is: 14,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.28 : 41,115.92 = 9,883.84 : x
  2. Step 2: Convert to fraction form
    27,416.28/41,115.92 = 9,883.84/x
  3. Step 3: Cross multiply
    27,416.28x = 41,115.92 × 9,883.84
  4. Step 4: Simplify right side
    27,416.28x = 406,383,174.73
  5. Step 5: Solve for x
    x = 406,383,174.73/27,416.28
  6. Step 6: Final answer
    x = 14,822.70

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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.