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Finding the Fourth Proportional to 27,843.40, 41,771.94 and 8,122.15

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Solution

The fourth proportional to 27,843.40, 41,771.94 and 8,122.15 is: 12,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843.40 : 41,771.94 = 8,122.15 : x
  2. Step 2: Convert to fraction form
    27,843.40/41,771.94 = 8,122.15/x
  3. Step 3: Cross multiply
    27,843.40x = 41,771.94 × 8,122.15
  4. Step 4: Simplify right side
    27,843.40x = 339,277,962.47
  5. Step 5: Solve for x
    x = 339,277,962.47/27,843.40
  6. Step 6: Final answer
    x = 12,185.22

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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.