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Finding the Fourth Proportional to 17,524.68, 24,183.27 and 9,971.66

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Solution

The fourth proportional to 17,524.68, 24,183.27 and 9,971.66 is: 13,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.68 : 24,183.27 = 9,971.66 : x
  2. Step 2: Convert to fraction form
    17,524.68/24,183.27 = 9,971.66/x
  3. Step 3: Cross multiply
    17,524.68x = 24,183.27 × 9,971.66
  4. Step 4: Simplify right side
    17,524.68x = 241,147,225.21
  5. Step 5: Solve for x
    x = 241,147,225.21/17,524.68
  6. Step 6: Final answer
    x = 13,760.44

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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.