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Finding the Fourth Proportional to 13,413.98, 18,512.46 and 7,446.80

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Solution

The fourth proportional to 13,413.98, 18,512.46 and 7,446.80 is: 10,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.98 : 18,512.46 = 7,446.80 : x
  2. Step 2: Convert to fraction form
    13,413.98/18,512.46 = 7,446.80/x
  3. Step 3: Cross multiply
    13,413.98x = 18,512.46 × 7,446.80
  4. Step 4: Simplify right side
    13,413.98x = 137,858,587.13
  5. Step 5: Solve for x
    x = 137,858,587.13/13,413.98
  6. Step 6: Final answer
    x = 10,277.23

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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.