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Finding the Fourth Proportional to 23,140, 31,937.52 and 13,204

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Solution

The fourth proportional to 23,140, 31,937.52 and 13,204 is: 18,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140 : 31,937.52 = 13,204 : x
  2. Step 2: Convert to fraction form
    23,140/31,937.52 = 13,204/x
  3. Step 3: Cross multiply
    23,140x = 31,937.52 × 13,204
  4. Step 4: Simplify right side
    23,140x = 421,703,014.08
  5. Step 5: Solve for x
    x = 421,703,014.08/23,140
  6. Step 6: Final answer
    x = 18,223.99

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