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Finding the Fourth Proportional to 27,584.64, 41,376.96 and 6,808.14

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Solution

The fourth proportional to 27,584.64, 41,376.96 and 6,808.14 is: 10,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.64 : 41,376.96 = 6,808.14 : x
  2. Step 2: Convert to fraction form
    27,584.64/41,376.96 = 6,808.14/x
  3. Step 3: Cross multiply
    27,584.64x = 41,376.96 × 6,808.14
  4. Step 4: Simplify right side
    27,584.64x = 281,700,136.45
  5. Step 5: Solve for x
    x = 281,700,136.45/27,584.64
  6. Step 6: Final answer
    x = 10,212.21

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