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Finding the Fourth Proportional to 17,494.22, 24,142.31 and 9,536.44

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Solution

The fourth proportional to 17,494.22, 24,142.31 and 9,536.44 is: 13,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.22 : 24,142.31 = 9,536.44 : x
  2. Step 2: Convert to fraction form
    17,494.22/24,142.31 = 9,536.44/x
  3. Step 3: Cross multiply
    17,494.22x = 24,142.31 × 9,536.44
  4. Step 4: Simplify right side
    17,494.22x = 230,231,690.78
  5. Step 5: Solve for x
    x = 230,231,690.78/17,494.22
  6. Step 6: Final answer
    x = 13,160.44

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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.