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Finding the Fourth Proportional to 17,751.96, 24,497.10 and 9,793.44

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Solution

The fourth proportional to 17,751.96, 24,497.10 and 9,793.44 is: 13,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.96 : 24,497.10 = 9,793.44 : x
  2. Step 2: Convert to fraction form
    17,751.96/24,497.10 = 9,793.44/x
  3. Step 3: Cross multiply
    17,751.96x = 24,497.10 × 9,793.44
  4. Step 4: Simplify right side
    17,751.96x = 239,910,879.02
  5. Step 5: Solve for x
    x = 239,910,879.02/17,751.96
  6. Step 6: Final answer
    x = 13,514.61

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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.