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Finding the Fourth Proportional to 27,778.82, 41,672.56 and 9,306.50

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Solution

The fourth proportional to 27,778.82, 41,672.56 and 9,306.50 is: 13,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,778.82 : 41,672.56 = 9,306.50 : x
  2. Step 2: Convert to fraction form
    27,778.82/41,672.56 = 9,306.50/x
  3. Step 3: Cross multiply
    27,778.82x = 41,672.56 × 9,306.50
  4. Step 4: Simplify right side
    27,778.82x = 387,825,679.64
  5. Step 5: Solve for x
    x = 387,825,679.64/27,778.82
  6. Step 6: Final answer
    x = 13,961.20

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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.