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Finding the Fourth Proportional to 13,823.75, 19,076.78 and 7,855.43

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Solution

The fourth proportional to 13,823.75, 19,076.78 and 7,855.43 is: 10,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.75 : 19,076.78 = 7,855.43 : x
  2. Step 2: Convert to fraction form
    13,823.75/19,076.78 = 7,855.43/x
  3. Step 3: Cross multiply
    13,823.75x = 19,076.78 × 7,855.43
  4. Step 4: Simplify right side
    13,823.75x = 149,856,234.17
  5. Step 5: Solve for x
    x = 149,856,234.17/13,823.75
  6. Step 6: Final answer
    x = 10,840.49

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