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Finding the Fourth Proportional to 13,912.54, 20,823.64 and 10,213.94

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Solution

The fourth proportional to 13,912.54, 20,823.64 and 10,213.94 is: 15,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.54 : 20,823.64 = 10,213.94 : x
  2. Step 2: Convert to fraction form
    13,912.54/20,823.64 = 10,213.94/x
  3. Step 3: Cross multiply
    13,912.54x = 20,823.64 × 10,213.94
  4. Step 4: Simplify right side
    13,912.54x = 212,691,409.54
  5. Step 5: Solve for x
    x = 212,691,409.54/13,912.54
  6. Step 6: Final answer
    x = 15,287.75

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