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Finding the Fourth Proportional to 13,872.42, 19,144.02 and 7,584.80

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Solution

The fourth proportional to 13,872.42, 19,144.02 and 7,584.80 is: 10,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.42 : 19,144.02 = 7,584.80 : x
  2. Step 2: Convert to fraction form
    13,872.42/19,144.02 = 7,584.80/x
  3. Step 3: Cross multiply
    13,872.42x = 19,144.02 × 7,584.80
  4. Step 4: Simplify right side
    13,872.42x = 145,203,562.90
  5. Step 5: Solve for x
    x = 145,203,562.90/13,872.42
  6. Step 6: Final answer
    x = 10,467.07

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