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Finding the Fourth Proportional to 13,824.96, 19,080.42 and 7,855.44

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Solution

The fourth proportional to 13,824.96, 19,080.42 and 7,855.44 is: 10,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.96 : 19,080.42 = 7,855.44 : x
  2. Step 2: Convert to fraction form
    13,824.96/19,080.42 = 7,855.44/x
  3. Step 3: Cross multiply
    13,824.96x = 19,080.42 × 7,855.44
  4. Step 4: Simplify right side
    13,824.96x = 149,885,094.48
  5. Step 5: Solve for x
    x = 149,885,094.48/13,824.96
  6. Step 6: Final answer
    x = 10,841.63

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