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Finding the Fourth Proportional to 20,902.44, 31,328.94 and 9,191.16

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Solution

The fourth proportional to 20,902.44, 31,328.94 and 9,191.16 is: 13,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.44 : 31,328.94 = 9,191.16 : x
  2. Step 2: Convert to fraction form
    20,902.44/31,328.94 = 9,191.16/x
  3. Step 3: Cross multiply
    20,902.44x = 31,328.94 × 9,191.16
  4. Step 4: Simplify right side
    20,902.44x = 287,949,300.17
  5. Step 5: Solve for x
    x = 287,949,300.17/20,902.44
  6. Step 6: Final answer
    x = 13,775.87

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