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Finding the Fourth Proportional to 20,539.68, 30,791.05 and 7,382.81

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Solution

The fourth proportional to 20,539.68, 30,791.05 and 7,382.81 is: 11,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.68 : 30,791.05 = 7,382.81 : x
  2. Step 2: Convert to fraction form
    20,539.68/30,791.05 = 7,382.81/x
  3. Step 3: Cross multiply
    20,539.68x = 30,791.05 × 7,382.81
  4. Step 4: Simplify right side
    20,539.68x = 227,324,530.37
  5. Step 5: Solve for x
    x = 227,324,530.37/20,539.68
  6. Step 6: Final answer
    x = 11,067.58

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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.