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Finding the Fourth Proportional to 27,649.66, 41,467.14 and 7,922.92

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Solution

The fourth proportional to 27,649.66, 41,467.14 and 7,922.92 is: 11,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.66 : 41,467.14 = 7,922.92 : x
  2. Step 2: Convert to fraction form
    27,649.66/41,467.14 = 7,922.92/x
  3. Step 3: Cross multiply
    27,649.66x = 41,467.14 × 7,922.92
  4. Step 4: Simplify right side
    27,649.66x = 328,540,832.85
  5. Step 5: Solve for x
    x = 328,540,832.85/27,649.66
  6. Step 6: Final answer
    x = 11,882.27

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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.