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Finding the Fourth Proportional to 17,231.22, 25,825.97 and 7,858.40

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Solution

The fourth proportional to 17,231.22, 25,825.97 and 7,858.40 is: 11,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.22 : 25,825.97 = 7,858.40 : x
  2. Step 2: Convert to fraction form
    17,231.22/25,825.97 = 7,858.40/x
  3. Step 3: Cross multiply
    17,231.22x = 25,825.97 × 7,858.40
  4. Step 4: Simplify right side
    17,231.22x = 202,950,634.23
  5. Step 5: Solve for x
    x = 202,950,634.23/17,231.22
  6. Step 6: Final answer
    x = 11,778.08

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1.5x scale

Why These Related Problems?

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