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Finding the Fourth Proportional to 13,704.56, 20,523.72 and 7,843.40

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Solution

The fourth proportional to 13,704.56, 20,523.72 and 7,843.40 is: 11,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.56 : 20,523.72 = 7,843.40 : x
  2. Step 2: Convert to fraction form
    13,704.56/20,523.72 = 7,843.40/x
  3. Step 3: Cross multiply
    13,704.56x = 20,523.72 × 7,843.40
  4. Step 4: Simplify right side
    13,704.56x = 160,975,745.45
  5. Step 5: Solve for x
    x = 160,975,745.45/13,704.56
  6. Step 6: Final answer
    x = 11,746.14

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