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Finding the Fourth Proportional to 20,976.98, 31,470.89 and 7,829.46

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Solution

The fourth proportional to 20,976.98, 31,470.89 and 7,829.46 is: 11,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.98 : 31,470.89 = 7,829.46 : x
  2. Step 2: Convert to fraction form
    20,976.98/31,470.89 = 7,829.46/x
  3. Step 3: Cross multiply
    20,976.98x = 31,470.89 × 7,829.46
  4. Step 4: Simplify right side
    20,976.98x = 246,400,035.27
  5. Step 5: Solve for x
    x = 246,400,035.27/20,976.98
  6. Step 6: Final answer
    x = 11,746.21

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