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Finding the Fourth Proportional to 20,978.20, 31,467.38 and 8,498.46

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Solution

The fourth proportional to 20,978.20, 31,467.38 and 8,498.46 is: 12,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.20 : 31,467.38 = 8,498.46 : x
  2. Step 2: Convert to fraction form
    20,978.20/31,467.38 = 8,498.46/x
  3. Step 3: Cross multiply
    20,978.20x = 31,467.38 × 8,498.46
  4. Step 4: Simplify right side
    20,978.20x = 267,424,070.41
  5. Step 5: Solve for x
    x = 267,424,070.41/20,978.20
  6. Step 6: Final answer
    x = 12,747.72

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