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Finding the Fourth Proportional to 17,024.22, 23,489.94 and 9,949.26

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Solution

The fourth proportional to 17,024.22, 23,489.94 and 9,949.26 is: 13,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.22 : 23,489.94 = 9,949.26 : x
  2. Step 2: Convert to fraction form
    17,024.22/23,489.94 = 9,949.26/x
  3. Step 3: Cross multiply
    17,024.22x = 23,489.94 × 9,949.26
  4. Step 4: Simplify right side
    17,024.22x = 233,707,520.44
  5. Step 5: Solve for x
    x = 233,707,520.44/17,024.22
  6. Step 6: Final answer
    x = 13,727.94

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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.