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Finding the Fourth Proportional to 20,679.78, 31,032.42 and 9,584.40

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Solution

The fourth proportional to 20,679.78, 31,032.42 and 9,584.40 is: 14,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.78 : 31,032.42 = 9,584.40 : x
  2. Step 2: Convert to fraction form
    20,679.78/31,032.42 = 9,584.40/x
  3. Step 3: Cross multiply
    20,679.78x = 31,032.42 × 9,584.40
  4. Step 4: Simplify right side
    20,679.78x = 297,427,126.25
  5. Step 5: Solve for x
    x = 297,427,126.25/20,679.78
  6. Step 6: Final answer
    x = 14,382.51

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