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Finding the Fourth Proportional to 17,278.12, 23,837.78 and 9,723.24

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Solution

The fourth proportional to 17,278.12, 23,837.78 and 9,723.24 is: 13,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.12 : 23,837.78 = 9,723.24 : x
  2. Step 2: Convert to fraction form
    17,278.12/23,837.78 = 9,723.24/x
  3. Step 3: Cross multiply
    17,278.12x = 23,837.78 × 9,723.24
  4. Step 4: Simplify right side
    17,278.12x = 231,780,456.01
  5. Step 5: Solve for x
    x = 231,780,456.01/17,278.12
  6. Step 6: Final answer
    x = 13,414.68

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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.