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Finding the Fourth Proportional to 13,813.57, 20,720.34 and 6,413.99

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Solution

The fourth proportional to 13,813.57, 20,720.34 and 6,413.99 is: 9,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.57 : 20,720.34 = 6,413.99 : x
  2. Step 2: Convert to fraction form
    13,813.57/20,720.34 = 6,413.99/x
  3. Step 3: Cross multiply
    13,813.57x = 20,720.34 × 6,413.99
  4. Step 4: Simplify right side
    13,813.57x = 132,899,949.95
  5. Step 5: Solve for x
    x = 132,899,949.95/13,813.57
  6. Step 6: Final answer
    x = 9,620.97

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