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Finding the Fourth Proportional to 26,400, 39,548.16 and 13,213.44

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Solution

The fourth proportional to 26,400, 39,548.16 and 13,213.44 is: 19,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 39,548.16 = 13,213.44 : x
  2. Step 2: Convert to fraction form
    26,400/39,548.16 = 13,213.44/x
  3. Step 3: Cross multiply
    26,400x = 39,548.16 × 13,213.44
  4. Step 4: Simplify right side
    26,400x = 522,567,239.27
  5. Step 5: Solve for x
    x = 522,567,239.27/26,400
  6. Step 6: Final answer
    x = 19,794.21

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