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Finding the Fourth Proportional to 27,584.28, 41,378.85 and 8,865.99

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Solution

The fourth proportional to 27,584.28, 41,378.85 and 8,865.99 is: 13,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.28 : 41,378.85 = 8,865.99 : x
  2. Step 2: Convert to fraction form
    27,584.28/41,378.85 = 8,865.99/x
  3. Step 3: Cross multiply
    27,584.28x = 41,378.85 × 8,865.99
  4. Step 4: Simplify right side
    27,584.28x = 366,864,470.31
  5. Step 5: Solve for x
    x = 366,864,470.31/27,584.28
  6. Step 6: Final answer
    x = 13,299.77

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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.