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Finding the Fourth Proportional to 16,241.92, 22,413.22 and 10,195.43

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Solution

The fourth proportional to 16,241.92, 22,413.22 and 10,195.43 is: 14,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.92 : 22,413.22 = 10,195.43 : x
  2. Step 2: Convert to fraction form
    16,241.92/22,413.22 = 10,195.43/x
  3. Step 3: Cross multiply
    16,241.92x = 22,413.22 × 10,195.43
  4. Step 4: Simplify right side
    16,241.92x = 228,512,278.03
  5. Step 5: Solve for x
    x = 228,512,278.03/16,241.92
  6. Step 6: Final answer
    x = 14,069.29

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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.