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Finding the Fourth Proportional to 13,907.75, 20,853.20 and 5,464.14

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Solution

The fourth proportional to 13,907.75, 20,853.20 and 5,464.14 is: 8,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.75 : 20,853.20 = 5,464.14 : x
  2. Step 2: Convert to fraction form
    13,907.75/20,853.20 = 5,464.14/x
  3. Step 3: Cross multiply
    13,907.75x = 20,853.20 × 5,464.14
  4. Step 4: Simplify right side
    13,907.75x = 113,944,804.25
  5. Step 5: Solve for x
    x = 113,944,804.25/13,907.75
  6. Step 6: Final answer
    x = 8,192.90

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