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Finding the Fourth Proportional to 27,806.48, 41,711.64 and 8,085.20

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Solution

The fourth proportional to 27,806.48, 41,711.64 and 8,085.20 is: 12,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.48 : 41,711.64 = 8,085.20 : x
  2. Step 2: Convert to fraction form
    27,806.48/41,711.64 = 8,085.20/x
  3. Step 3: Cross multiply
    27,806.48x = 41,711.64 × 8,085.20
  4. Step 4: Simplify right side
    27,806.48x = 337,246,951.73
  5. Step 5: Solve for x
    x = 337,246,951.73/27,806.48
  6. Step 6: Final answer
    x = 12,128.36

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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.