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Finding the Fourth Proportional to 27,201.42, 40,791.24 and 8,475.30

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Solution

The fourth proportional to 27,201.42, 40,791.24 and 8,475.30 is: 12,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.42 : 40,791.24 = 8,475.30 : x
  2. Step 2: Convert to fraction form
    27,201.42/40,791.24 = 8,475.30/x
  3. Step 3: Cross multiply
    27,201.42x = 40,791.24 × 8,475.30
  4. Step 4: Simplify right side
    27,201.42x = 345,717,996.37
  5. Step 5: Solve for x
    x = 345,717,996.37/27,201.42
  6. Step 6: Final answer
    x = 12,709.56

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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.