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Finding the Fourth Proportional to 13,821.21, 19,074.78 and 7,854.33

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Solution

The fourth proportional to 13,821.21, 19,074.78 and 7,854.33 is: 10,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.21 : 19,074.78 = 7,854.33 : x
  2. Step 2: Convert to fraction form
    13,821.21/19,074.78 = 7,854.33/x
  3. Step 3: Cross multiply
    13,821.21x = 19,074.78 × 7,854.33
  4. Step 4: Simplify right side
    13,821.21x = 149,819,616.80
  5. Step 5: Solve for x
    x = 149,819,616.80/13,821.21
  6. Step 6: Final answer
    x = 10,839.83

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