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Finding the Fourth Proportional to 15,517.38, 21,413.94 and 8,443.80

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Solution

The fourth proportional to 15,517.38, 21,413.94 and 8,443.80 is: 11,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,517.38 : 21,413.94 = 8,443.80 : x
  2. Step 2: Convert to fraction form
    15,517.38/21,413.94 = 8,443.80/x
  3. Step 3: Cross multiply
    15,517.38x = 21,413.94 × 8,443.80
  4. Step 4: Simplify right side
    15,517.38x = 180,815,026.57
  5. Step 5: Solve for x
    x = 180,815,026.57/15,517.38
  6. Step 6: Final answer
    x = 11,652.42

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Why These Related Problems?

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