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Finding the Fourth Proportional to 17,751.19, 24,496.74 and 9,793.42

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Solution

The fourth proportional to 17,751.19, 24,496.74 and 9,793.42 is: 13,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751.19 : 24,496.74 = 9,793.42 : x
  2. Step 2: Convert to fraction form
    17,751.19/24,496.74 = 9,793.42/x
  3. Step 3: Cross multiply
    17,751.19x = 24,496.74 × 9,793.42
  4. Step 4: Simplify right side
    17,751.19x = 239,906,692.00
  5. Step 5: Solve for x
    x = 239,906,692.00/17,751.19
  6. Step 6: Final answer
    x = 13,514.97

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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.