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Finding the Fourth Proportional to 17,726.26, 26,589.40 and 5,414.26

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Solution

The fourth proportional to 17,726.26, 26,589.40 and 5,414.26 is: 8,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.26 : 26,589.40 = 5,414.26 : x
  2. Step 2: Convert to fraction form
    17,726.26/26,589.40 = 5,414.26/x
  3. Step 3: Cross multiply
    17,726.26x = 26,589.40 × 5,414.26
  4. Step 4: Simplify right side
    17,726.26x = 143,961,924.84
  5. Step 5: Solve for x
    x = 143,961,924.84/17,726.26
  6. Step 6: Final answer
    x = 8,121.39

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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.