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Finding the Fourth Proportional to 13,823.20, 20,734.80 and 6,896.80

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Solution

The fourth proportional to 13,823.20, 20,734.80 and 6,896.80 is: 10,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.20 : 20,734.80 = 6,896.80 : x
  2. Step 2: Convert to fraction form
    13,823.20/20,734.80 = 6,896.80/x
  3. Step 3: Cross multiply
    13,823.20x = 20,734.80 × 6,896.80
  4. Step 4: Simplify right side
    13,823.20x = 143,003,768.64
  5. Step 5: Solve for x
    x = 143,003,768.64/13,823.20
  6. Step 6: Final answer
    x = 10,345.20

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