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Finding the Fourth Proportional to 20,872.63, 31,315.87 and 13,880.17

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Solution

The fourth proportional to 20,872.63, 31,315.87 and 13,880.17 is: 20,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.63 : 31,315.87 = 13,880.17 : x
  2. Step 2: Convert to fraction form
    20,872.63/31,315.87 = 13,880.17/x
  3. Step 3: Cross multiply
    20,872.63x = 31,315.87 × 13,880.17
  4. Step 4: Simplify right side
    20,872.63x = 434,669,599.30
  5. Step 5: Solve for x
    x = 434,669,599.30/20,872.63
  6. Step 6: Final answer
    x = 20,824.86

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