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Finding the Fourth Proportional to 27,846.90, 41,766.30 and 8,123.40

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Solution

The fourth proportional to 27,846.90, 41,766.30 and 8,123.40 is: 12,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.90 : 41,766.30 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    27,846.90/41,766.30 = 8,123.40/x
  3. Step 3: Cross multiply
    27,846.90x = 41,766.30 × 8,123.40
  4. Step 4: Simplify right side
    27,846.90x = 339,284,361.42
  5. Step 5: Solve for x
    x = 339,284,361.42/27,846.90
  6. Step 6: Final answer
    x = 12,183.92

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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.