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Finding the Fourth Proportional to 13,906.41, 20,854.14 and 6,109.75

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Solution

The fourth proportional to 13,906.41, 20,854.14 and 6,109.75 is: 9,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.41 : 20,854.14 = 6,109.75 : x
  2. Step 2: Convert to fraction form
    13,906.41/20,854.14 = 6,109.75/x
  3. Step 3: Cross multiply
    13,906.41x = 20,854.14 × 6,109.75
  4. Step 4: Simplify right side
    13,906.41x = 127,413,581.87
  5. Step 5: Solve for x
    x = 127,413,581.87/13,906.41
  6. Step 6: Final answer
    x = 9,162.22

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