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Finding the Fourth Proportional to 17,660.82, 24,370.53 and 10,105.42

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Solution

The fourth proportional to 17,660.82, 24,370.53 and 10,105.42 is: 13,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.82 : 24,370.53 = 10,105.42 : x
  2. Step 2: Convert to fraction form
    17,660.82/24,370.53 = 10,105.42/x
  3. Step 3: Cross multiply
    17,660.82x = 24,370.53 × 10,105.42
  4. Step 4: Simplify right side
    17,660.82x = 246,274,441.27
  5. Step 5: Solve for x
    x = 246,274,441.27/17,660.82
  6. Step 6: Final answer
    x = 13,944.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.