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Finding the Fourth Proportional to 17,753.46, 24,501.15 and 9,796.38

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Solution

The fourth proportional to 17,753.46, 24,501.15 and 9,796.38 is: 13,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.46 : 24,501.15 = 9,796.38 : x
  2. Step 2: Convert to fraction form
    17,753.46/24,501.15 = 9,796.38/x
  3. Step 3: Cross multiply
    17,753.46x = 24,501.15 × 9,796.38
  4. Step 4: Simplify right side
    17,753.46x = 240,022,575.84
  5. Step 5: Solve for x
    x = 240,022,575.84/17,753.46
  6. Step 6: Final answer
    x = 13,519.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.