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Finding the Fourth Proportional to 27,649.62, 41,474.46 and 6,873.12

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Solution

The fourth proportional to 27,649.62, 41,474.46 and 6,873.12 is: 10,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.62 : 41,474.46 = 6,873.12 : x
  2. Step 2: Convert to fraction form
    27,649.62/41,474.46 = 6,873.12/x
  3. Step 3: Cross multiply
    27,649.62x = 41,474.46 × 6,873.12
  4. Step 4: Simplify right side
    27,649.62x = 285,058,940.52
  5. Step 5: Solve for x
    x = 285,058,940.52/27,649.62
  6. Step 6: Final answer
    x = 10,309.69

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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.