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Finding the Fourth Proportional to 17,753.97, 24,500.61 and 9,796.49

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Solution

The fourth proportional to 17,753.97, 24,500.61 and 9,796.49 is: 13,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.97 : 24,500.61 = 9,796.49 : x
  2. Step 2: Convert to fraction form
    17,753.97/24,500.61 = 9,796.49/x
  3. Step 3: Cross multiply
    17,753.97x = 24,500.61 × 9,796.49
  4. Step 4: Simplify right side
    17,753.97x = 240,019,980.86
  5. Step 5: Solve for x
    x = 240,019,980.86/17,753.97
  6. Step 6: Final answer
    x = 13,519.23

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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.