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Finding the Fourth Proportional to 16,966.98, 23,414.85 and 9,413.63

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Solution

The fourth proportional to 16,966.98, 23,414.85 and 9,413.63 is: 12,991.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966.98 : 23,414.85 = 9,413.63 : x
  2. Step 2: Convert to fraction form
    16,966.98/23,414.85 = 9,413.63/x
  3. Step 3: Cross multiply
    16,966.98x = 23,414.85 × 9,413.63
  4. Step 4: Simplify right side
    16,966.98x = 220,418,617.33
  5. Step 5: Solve for x
    x = 220,418,617.33/16,966.98
  6. Step 6: Final answer
    x = 12,991.03

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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.