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Finding the Fourth Proportional to 13,742.56, 18,964.84 and 7,454.92

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Solution

The fourth proportional to 13,742.56, 18,964.84 and 7,454.92 is: 10,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.56 : 18,964.84 = 7,454.92 : x
  2. Step 2: Convert to fraction form
    13,742.56/18,964.84 = 7,454.92/x
  3. Step 3: Cross multiply
    13,742.56x = 18,964.84 × 7,454.92
  4. Step 4: Simplify right side
    13,742.56x = 141,381,365.01
  5. Step 5: Solve for x
    x = 141,381,365.01/13,742.56
  6. Step 6: Final answer
    x = 10,287.85

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