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Finding the Fourth Proportional to 12,584.13, 18,880.31 and 3,819.05

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Solution

The fourth proportional to 12,584.13, 18,880.31 and 3,819.05 is: 5,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.13 : 18,880.31 = 3,819.05 : x
  2. Step 2: Convert to fraction form
    12,584.13/18,880.31 = 3,819.05/x
  3. Step 3: Cross multiply
    12,584.13x = 18,880.31 × 3,819.05
  4. Step 4: Simplify right side
    12,584.13x = 72,104,847.91
  5. Step 5: Solve for x
    x = 72,104,847.91/12,584.13
  6. Step 6: Final answer
    x = 5,729.82

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