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Finding the Fourth Proportional to 27,831.80, 41,747.60 and 6,771.60

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Solution

The fourth proportional to 27,831.80, 41,747.60 and 6,771.60 is: 10,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.80 : 41,747.60 = 6,771.60 : x
  2. Step 2: Convert to fraction form
    27,831.80/41,747.60 = 6,771.60/x
  3. Step 3: Cross multiply
    27,831.80x = 41,747.60 × 6,771.60
  4. Step 4: Simplify right side
    27,831.80x = 282,698,065.09
  5. Step 5: Solve for x
    x = 282,698,065.09/27,831.80
  6. Step 6: Final answer
    x = 10,157.38

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