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Finding the Fourth Proportional to 27,633.35, 41,442.03 and 7,906.61

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Solution

The fourth proportional to 27,633.35, 41,442.03 and 7,906.61 is: 11,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.35 : 41,442.03 = 7,906.61 : x
  2. Step 2: Convert to fraction form
    27,633.35/41,442.03 = 7,906.61/x
  3. Step 3: Cross multiply
    27,633.35x = 41,442.03 × 7,906.61
  4. Step 4: Simplify right side
    27,633.35x = 327,666,072.42
  5. Step 5: Solve for x
    x = 327,666,072.42/27,633.35
  6. Step 6: Final answer
    x = 11,857.63

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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.