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Finding the Fourth Proportional to 8,427.54, 12,643.47 and 2,584.20

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Solution

The fourth proportional to 8,427.54, 12,643.47 and 2,584.20 is: 3,876.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.54 : 12,643.47 = 2,584.20 : x
  2. Step 2: Convert to fraction form
    8,427.54/12,643.47 = 2,584.20/x
  3. Step 3: Cross multiply
    8,427.54x = 12,643.47 × 2,584.20
  4. Step 4: Simplify right side
    8,427.54x = 32,673,255.17
  5. Step 5: Solve for x
    x = 32,673,255.17/8,427.54
  6. Step 6: Final answer
    x = 3,876.96

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