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Finding the Fourth Proportional to 12,584.61, 18,869.92 and 5,194.08

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Solution

The fourth proportional to 12,584.61, 18,869.92 and 5,194.08 is: 7,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.61 : 18,869.92 = 5,194.08 : x
  2. Step 2: Convert to fraction form
    12,584.61/18,869.92 = 5,194.08/x
  3. Step 3: Cross multiply
    12,584.61x = 18,869.92 × 5,194.08
  4. Step 4: Simplify right side
    12,584.61x = 98,011,861.09
  5. Step 5: Solve for x
    x = 98,011,861.09/12,584.61
  6. Step 6: Final answer
    x = 7,788.23

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