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Finding the Fourth Proportional to 17,449.78, 24,081.22 and 9,896.42

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Solution

The fourth proportional to 17,449.78, 24,081.22 and 9,896.42 is: 13,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449.78 : 24,081.22 = 9,896.42 : x
  2. Step 2: Convert to fraction form
    17,449.78/24,081.22 = 9,896.42/x
  3. Step 3: Cross multiply
    17,449.78x = 24,081.22 × 9,896.42
  4. Step 4: Simplify right side
    17,449.78x = 238,317,867.23
  5. Step 5: Solve for x
    x = 238,317,867.23/17,449.78
  6. Step 6: Final answer
    x = 13,657.36

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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.