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Finding the Fourth Proportional to 13,645.36, 20,469.20 and 3,784.64

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Solution

The fourth proportional to 13,645.36, 20,469.20 and 3,784.64 is: 5,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.36 : 20,469.20 = 3,784.64 : x
  2. Step 2: Convert to fraction form
    13,645.36/20,469.20 = 3,784.64/x
  3. Step 3: Cross multiply
    13,645.36x = 20,469.20 × 3,784.64
  4. Step 4: Simplify right side
    13,645.36x = 77,468,553.09
  5. Step 5: Solve for x
    x = 77,468,553.09/13,645.36
  6. Step 6: Final answer
    x = 5,677.28

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