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Finding the Fourth Proportional to 27,954.24, 41,924.64 and 8,227.44

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Solution

The fourth proportional to 27,954.24, 41,924.64 and 8,227.44 is: 12,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954.24 : 41,924.64 = 8,227.44 : x
  2. Step 2: Convert to fraction form
    27,954.24/41,924.64 = 8,227.44/x
  3. Step 3: Cross multiply
    27,954.24x = 41,924.64 × 8,227.44
  4. Step 4: Simplify right side
    27,954.24x = 344,932,460.12
  5. Step 5: Solve for x
    x = 344,932,460.12/27,954.24
  6. Step 6: Final answer
    x = 12,339.18

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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.