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Finding the Fourth Proportional to 11,617.80, 17,414.55 and 4,219.26

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Solution

The fourth proportional to 11,617.80, 17,414.55 and 4,219.26 is: 6,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.80 : 17,414.55 = 4,219.26 : x
  2. Step 2: Convert to fraction form
    11,617.80/17,414.55 = 4,219.26/x
  3. Step 3: Cross multiply
    11,617.80x = 17,414.55 × 4,219.26
  4. Step 4: Simplify right side
    11,617.80x = 73,476,514.23
  5. Step 5: Solve for x
    x = 73,476,514.23/11,617.80
  6. Step 6: Final answer
    x = 6,324.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.