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Finding the Fourth Proportional to 27,844.60, 41,766.20 and 8,123.32

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Solution

The fourth proportional to 27,844.60, 41,766.20 and 8,123.32 is: 12,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.60 : 41,766.20 = 8,123.32 : x
  2. Step 2: Convert to fraction form
    27,844.60/41,766.20 = 8,123.32/x
  3. Step 3: Cross multiply
    27,844.60x = 41,766.20 × 8,123.32
  4. Step 4: Simplify right side
    27,844.60x = 339,280,207.78
  5. Step 5: Solve for x
    x = 339,280,207.78/27,844.60
  6. Step 6: Final answer
    x = 12,184.78

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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.