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Finding the Fourth Proportional to 13,824.99, 19,077.67 and 7,855.83

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Solution

The fourth proportional to 13,824.99, 19,077.67 and 7,855.83 is: 10,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.99 : 19,077.67 = 7,855.83 : x
  2. Step 2: Convert to fraction form
    13,824.99/19,077.67 = 7,855.83/x
  3. Step 3: Cross multiply
    13,824.99x = 19,077.67 × 7,855.83
  4. Step 4: Simplify right side
    13,824.99x = 149,870,998.95
  5. Step 5: Solve for x
    x = 149,870,998.95/13,824.99
  6. Step 6: Final answer
    x = 10,840.58

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