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Finding the Fourth Proportional to 13,738.71, 20,576.02 and 10,031.75

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Solution

The fourth proportional to 13,738.71, 20,576.02 and 10,031.75 is: 15,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.71 : 20,576.02 = 10,031.75 : x
  2. Step 2: Convert to fraction form
    13,738.71/20,576.02 = 10,031.75/x
  3. Step 3: Cross multiply
    13,738.71x = 20,576.02 × 10,031.75
  4. Step 4: Simplify right side
    13,738.71x = 206,413,488.64
  5. Step 5: Solve for x
    x = 206,413,488.64/13,738.71
  6. Step 6: Final answer
    x = 15,024.23

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