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Finding the Fourth Proportional to 17,257.26, 23,814.90 and 9,805.26

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Solution

The fourth proportional to 17,257.26, 23,814.90 and 9,805.26 is: 13,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.26 : 23,814.90 = 9,805.26 : x
  2. Step 2: Convert to fraction form
    17,257.26/23,814.90 = 9,805.26/x
  3. Step 3: Cross multiply
    17,257.26x = 23,814.90 × 9,805.26
  4. Step 4: Simplify right side
    17,257.26x = 233,511,286.37
  5. Step 5: Solve for x
    x = 233,511,286.37/17,257.26
  6. Step 6: Final answer
    x = 13,531.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.