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Finding the Fourth Proportional to 12,584.19, 18,884.94 and 5,188.64

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Solution

The fourth proportional to 12,584.19, 18,884.94 and 5,188.64 is: 7,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.19 : 18,884.94 = 5,188.64 : x
  2. Step 2: Convert to fraction form
    12,584.19/18,884.94 = 5,188.64/x
  3. Step 3: Cross multiply
    12,584.19x = 18,884.94 × 5,188.64
  4. Step 4: Simplify right side
    12,584.19x = 97,987,229.73
  5. Step 5: Solve for x
    x = 97,987,229.73/12,584.19
  6. Step 6: Final answer
    x = 7,786.54

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