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Finding the Fourth Proportional to 13,413.52, 18,517.32 and 8,380.53

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Solution

The fourth proportional to 13,413.52, 18,517.32 and 8,380.53 is: 11,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.52 : 18,517.32 = 8,380.53 : x
  2. Step 2: Convert to fraction form
    13,413.52/18,517.32 = 8,380.53/x
  3. Step 3: Cross multiply
    13,413.52x = 18,517.32 × 8,380.53
  4. Step 4: Simplify right side
    13,413.52x = 155,184,955.78
  5. Step 5: Solve for x
    x = 155,184,955.78/13,413.52
  6. Step 6: Final answer
    x = 11,569.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.