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Finding the Fourth Proportional to 13,826.14, 19,080.99 and 7,857.82

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Solution

The fourth proportional to 13,826.14, 19,080.99 and 7,857.82 is: 10,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826.14 : 19,080.99 = 7,857.82 : x
  2. Step 2: Convert to fraction form
    13,826.14/19,080.99 = 7,857.82/x
  3. Step 3: Cross multiply
    13,826.14x = 19,080.99 × 7,857.82
  4. Step 4: Simplify right side
    13,826.14x = 149,934,984.84
  5. Step 5: Solve for x
    x = 149,934,984.84/13,826.14
  6. Step 6: Final answer
    x = 10,844.31

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