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Finding the Fourth Proportional to 11,916.92, 17,878.42 and 8,413.75

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Solution

The fourth proportional to 11,916.92, 17,878.42 and 8,413.75 is: 12,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.92 : 17,878.42 = 8,413.75 : x
  2. Step 2: Convert to fraction form
    11,916.92/17,878.42 = 8,413.75/x
  3. Step 3: Cross multiply
    11,916.92x = 17,878.42 × 8,413.75
  4. Step 4: Simplify right side
    11,916.92x = 150,424,556.28
  5. Step 5: Solve for x
    x = 150,424,556.28/11,916.92
  6. Step 6: Final answer
    x = 12,622.77

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