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Finding the Fourth Proportional to 27,842.26, 41,758.95 and 8,116.21

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Solution

The fourth proportional to 27,842.26, 41,758.95 and 8,116.21 is: 12,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.26 : 41,758.95 = 8,116.21 : x
  2. Step 2: Convert to fraction form
    27,842.26/41,758.95 = 8,116.21/x
  3. Step 3: Cross multiply
    27,842.26x = 41,758.95 × 8,116.21
  4. Step 4: Simplify right side
    27,842.26x = 338,924,198.78
  5. Step 5: Solve for x
    x = 338,924,198.78/27,842.26
  6. Step 6: Final answer
    x = 12,173.01

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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.