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Finding the Fourth Proportional to 17,755.22, 24,502.34 and 9,797.73

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Solution

The fourth proportional to 17,755.22, 24,502.34 and 9,797.73 is: 13,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.22 : 24,502.34 = 9,797.73 : x
  2. Step 2: Convert to fraction form
    17,755.22/24,502.34 = 9,797.73/x
  3. Step 3: Cross multiply
    17,755.22x = 24,502.34 × 9,797.73
  4. Step 4: Simplify right side
    17,755.22x = 240,067,311.69
  5. Step 5: Solve for x
    x = 240,067,311.69/17,755.22
  6. Step 6: Final answer
    x = 13,520.94

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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.