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Finding the Fourth Proportional to 27,469.26, 41,194.04 and 11,878.38

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Solution

The fourth proportional to 27,469.26, 41,194.04 and 11,878.38 is: 17,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.26 : 41,194.04 = 11,878.38 : x
  2. Step 2: Convert to fraction form
    27,469.26/41,194.04 = 11,878.38/x
  3. Step 3: Cross multiply
    27,469.26x = 41,194.04 × 11,878.38
  4. Step 4: Simplify right side
    27,469.26x = 489,318,401.46
  5. Step 5: Solve for x
    x = 489,318,401.46/27,469.26
  6. Step 6: Final answer
    x = 17,813.31

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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.