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Finding the Fourth Proportional to 27,806.54, 41,716.35 and 8,084.52

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Solution

The fourth proportional to 27,806.54, 41,716.35 and 8,084.52 is: 12,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.54 : 41,716.35 = 8,084.52 : x
  2. Step 2: Convert to fraction form
    27,806.54/41,716.35 = 8,084.52/x
  3. Step 3: Cross multiply
    27,806.54x = 41,716.35 × 8,084.52
  4. Step 4: Simplify right side
    27,806.54x = 337,256,665.90
  5. Step 5: Solve for x
    x = 337,256,665.90/27,806.54
  6. Step 6: Final answer
    x = 12,128.68

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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.