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Finding the Fourth Proportional to 13,766.78, 20,642.85 and 5,446.46

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Solution

The fourth proportional to 13,766.78, 20,642.85 and 5,446.46 is: 8,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.78 : 20,642.85 = 5,446.46 : x
  2. Step 2: Convert to fraction form
    13,766.78/20,642.85 = 5,446.46/x
  3. Step 3: Cross multiply
    13,766.78x = 20,642.85 × 5,446.46
  4. Step 4: Simplify right side
    13,766.78x = 112,430,456.81
  5. Step 5: Solve for x
    x = 112,430,456.81/13,766.78
  6. Step 6: Final answer
    x = 8,166.79

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