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Finding the Fourth Proportional to 15,884.82, 23,826.66 and 7,568.16

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Solution

The fourth proportional to 15,884.82, 23,826.66 and 7,568.16 is: 11,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.82 : 23,826.66 = 7,568.16 : x
  2. Step 2: Convert to fraction form
    15,884.82/23,826.66 = 7,568.16/x
  3. Step 3: Cross multiply
    15,884.82x = 23,826.66 × 7,568.16
  4. Step 4: Simplify right side
    15,884.82x = 180,323,975.15
  5. Step 5: Solve for x
    x = 180,323,975.15/15,884.82
  6. Step 6: Final answer
    x = 11,351.97

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