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Finding the Fourth Proportional to 13,872.71, 19,144.94 and 7,824.98

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Solution

The fourth proportional to 13,872.71, 19,144.94 and 7,824.98 is: 10,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.71 : 19,144.94 = 7,824.98 : x
  2. Step 2: Convert to fraction form
    13,872.71/19,144.94 = 7,824.98/x
  3. Step 3: Cross multiply
    13,872.71x = 19,144.94 × 7,824.98
  4. Step 4: Simplify right side
    13,872.71x = 149,808,637.75
  5. Step 5: Solve for x
    x = 149,808,637.75/13,872.71
  6. Step 6: Final answer
    x = 10,798.81

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