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Finding the Fourth Proportional to 17,923.58, 24,734.38 and 9,965.73

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Solution

The fourth proportional to 17,923.58, 24,734.38 and 9,965.73 is: 13,752.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.58 : 24,734.38 = 9,965.73 : x
  2. Step 2: Convert to fraction form
    17,923.58/24,734.38 = 9,965.73/x
  3. Step 3: Cross multiply
    17,923.58x = 24,734.38 × 9,965.73
  4. Step 4: Simplify right side
    17,923.58x = 246,496,211.86
  5. Step 5: Solve for x
    x = 246,496,211.86/17,923.58
  6. Step 6: Final answer
    x = 13,752.62

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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.