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Finding the Fourth Proportional to 16,965.80, 23,412.76 and 9,413.27

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Solution

The fourth proportional to 16,965.80, 23,412.76 and 9,413.27 is: 12,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.80 : 23,412.76 = 9,413.27 : x
  2. Step 2: Convert to fraction form
    16,965.80/23,412.76 = 9,413.27/x
  3. Step 3: Cross multiply
    16,965.80x = 23,412.76 × 9,413.27
  4. Step 4: Simplify right side
    16,965.80x = 220,390,584.26
  5. Step 5: Solve for x
    x = 220,390,584.26/16,965.80
  6. Step 6: Final answer
    x = 12,990.29

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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.