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Finding the Fourth Proportional to 27,683.70, 41,532.17 and 8,963.76

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Solution

The fourth proportional to 27,683.70, 41,532.17 and 8,963.76 is: 13,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.70 : 41,532.17 = 8,963.76 : x
  2. Step 2: Convert to fraction form
    27,683.70/41,532.17 = 8,963.76/x
  3. Step 3: Cross multiply
    27,683.70x = 41,532.17 × 8,963.76
  4. Step 4: Simplify right side
    27,683.70x = 372,284,381.75
  5. Step 5: Solve for x
    x = 372,284,381.75/27,683.70
  6. Step 6: Final answer
    x = 13,447.78

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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.