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Finding the Fourth Proportional to 13,742.52, 18,964.64 and 7,454.90

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Solution

The fourth proportional to 13,742.52, 18,964.64 and 7,454.90 is: 10,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.52 : 18,964.64 = 7,454.90 : x
  2. Step 2: Convert to fraction form
    13,742.52/18,964.64 = 7,454.90/x
  3. Step 3: Cross multiply
    13,742.52x = 18,964.64 × 7,454.90
  4. Step 4: Simplify right side
    13,742.52x = 141,379,399.91
  5. Step 5: Solve for x
    x = 141,379,399.91/13,742.52
  6. Step 6: Final answer
    x = 10,287.73

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