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Finding the Fourth Proportional to 13,478, 20,194.64 and 8,197.03

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Solution

The fourth proportional to 13,478, 20,194.64 and 8,197.03 is: 12,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478 : 20,194.64 = 8,197.03 : x
  2. Step 2: Convert to fraction form
    13,478/20,194.64 = 8,197.03/x
  3. Step 3: Cross multiply
    13,478x = 20,194.64 × 8,197.03
  4. Step 4: Simplify right side
    13,478x = 165,536,069.92
  5. Step 5: Solve for x
    x = 165,536,069.92/13,478
  6. Step 6: Final answer
    x = 12,281.95

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