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Finding the Fourth Proportional to 20,782.92, 31,174.44 and 5,200.54

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Solution

The fourth proportional to 20,782.92, 31,174.44 and 5,200.54 is: 7,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.92 : 31,174.44 = 5,200.54 : x
  2. Step 2: Convert to fraction form
    20,782.92/31,174.44 = 5,200.54/x
  3. Step 3: Cross multiply
    20,782.92x = 31,174.44 × 5,200.54
  4. Step 4: Simplify right side
    20,782.92x = 162,123,922.20
  5. Step 5: Solve for x
    x = 162,123,922.20/20,782.92
  6. Step 6: Final answer
    x = 7,800.83

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