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Finding the Fourth Proportional to 27,966.26, 41,940.50 and 9,242.80

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Solution

The fourth proportional to 27,966.26, 41,940.50 and 9,242.80 is: 13,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966.26 : 41,940.50 = 9,242.80 : x
  2. Step 2: Convert to fraction form
    27,966.26/41,940.50 = 9,242.80/x
  3. Step 3: Cross multiply
    27,966.26x = 41,940.50 × 9,242.80
  4. Step 4: Simplify right side
    27,966.26x = 387,647,502.33
  5. Step 5: Solve for x
    x = 387,647,502.33/27,966.26
  6. Step 6: Final answer
    x = 13,861.26

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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.