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Finding the Fourth Proportional to 27,894.49, 41,842.07 and 8,173.44

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Solution

The fourth proportional to 27,894.49, 41,842.07 and 8,173.44 is: 12,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.49 : 41,842.07 = 8,173.44 : x
  2. Step 2: Convert to fraction form
    27,894.49/41,842.07 = 8,173.44/x
  3. Step 3: Cross multiply
    27,894.49x = 41,842.07 × 8,173.44
  4. Step 4: Simplify right side
    27,894.49x = 341,993,753.23
  5. Step 5: Solve for x
    x = 341,993,753.23/27,894.49
  6. Step 6: Final answer
    x = 12,260.26

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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.