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Finding the Fourth Proportional to 27,822.35, 41,760.86 and 20,405.68

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Solution

The fourth proportional to 27,822.35, 41,760.86 and 20,405.68 is: 30,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.35 : 41,760.86 = 20,405.68 : x
  2. Step 2: Convert to fraction form
    27,822.35/41,760.86 = 20,405.68/x
  3. Step 3: Cross multiply
    27,822.35x = 41,760.86 × 20,405.68
  4. Step 4: Simplify right side
    27,822.35x = 852,158,539.25
  5. Step 5: Solve for x
    x = 852,158,539.25/27,822.35
  6. Step 6: Final answer
    x = 30,628.56

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