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Finding the Fourth Proportional to 17,621.80, 24,305.34 and 14,965

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Solution

The fourth proportional to 17,621.80, 24,305.34 and 14,965 is: 20,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621.80 : 24,305.34 = 14,965 : x
  2. Step 2: Convert to fraction form
    17,621.80/24,305.34 = 14,965/x
  3. Step 3: Cross multiply
    17,621.80x = 24,305.34 × 14,965
  4. Step 4: Simplify right side
    17,621.80x = 363,729,413.10
  5. Step 5: Solve for x
    x = 363,729,413.10/17,621.80
  6. Step 6: Final answer
    x = 20,640.88

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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.