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Finding the Fourth Proportional to 16,413.49, 22,650.89 and 8,961.49

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Solution

The fourth proportional to 16,413.49, 22,650.89 and 8,961.49 is: 12,367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.49 : 22,650.89 = 8,961.49 : x
  2. Step 2: Convert to fraction form
    16,413.49/22,650.89 = 8,961.49/x
  3. Step 3: Cross multiply
    16,413.49x = 22,650.89 × 8,961.49
  4. Step 4: Simplify right side
    16,413.49x = 202,985,679.42
  5. Step 5: Solve for x
    x = 202,985,679.42/16,413.49
  6. Step 6: Final answer
    x = 12,367.00

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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.