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Finding the Fourth Proportional to 17,753.36, 24,511.96 and 11,042

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Solution

The fourth proportional to 17,753.36, 24,511.96 and 11,042 is: 15,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.36 : 24,511.96 = 11,042 : x
  2. Step 2: Convert to fraction form
    17,753.36/24,511.96 = 11,042/x
  3. Step 3: Cross multiply
    17,753.36x = 24,511.96 × 11,042
  4. Step 4: Simplify right side
    17,753.36x = 270,661,062.32
  5. Step 5: Solve for x
    x = 270,661,062.32/17,753.36
  6. Step 6: Final answer
    x = 15,245.62

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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.