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Finding the Fourth Proportional to 27,201.20, 40,798.56 and 7,481.76

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Solution

The fourth proportional to 27,201.20, 40,798.56 and 7,481.76 is: 11,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.20 : 40,798.56 = 7,481.76 : x
  2. Step 2: Convert to fraction form
    27,201.20/40,798.56 = 7,481.76/x
  3. Step 3: Cross multiply
    27,201.20x = 40,798.56 × 7,481.76
  4. Step 4: Simplify right side
    27,201.20x = 305,245,034.27
  5. Step 5: Solve for x
    x = 305,245,034.27/27,201.20
  6. Step 6: Final answer
    x = 11,221.75

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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.