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Finding the Fourth Proportional to 20,979.85, 31,470.20 and 7,829.60

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Solution

The fourth proportional to 20,979.85, 31,470.20 and 7,829.60 is: 11,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979.85 : 31,470.20 = 7,829.60 : x
  2. Step 2: Convert to fraction form
    20,979.85/31,470.20 = 7,829.60/x
  3. Step 3: Cross multiply
    20,979.85x = 31,470.20 × 7,829.60
  4. Step 4: Simplify right side
    20,979.85x = 246,399,077.92
  5. Step 5: Solve for x
    x = 246,399,077.92/20,979.85
  6. Step 6: Final answer
    x = 11,744.56

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