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Finding the Fourth Proportional to 17,931.46, 24,745.97 and 9,974.23

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Solution

The fourth proportional to 17,931.46, 24,745.97 and 9,974.23 is: 13,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,931.46 : 24,745.97 = 9,974.23 : x
  2. Step 2: Convert to fraction form
    17,931.46/24,745.97 = 9,974.23/x
  3. Step 3: Cross multiply
    17,931.46x = 24,745.97 × 9,974.23
  4. Step 4: Simplify right side
    17,931.46x = 246,821,996.35
  5. Step 5: Solve for x
    x = 246,821,996.35/17,931.46
  6. Step 6: Final answer
    x = 13,764.75

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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.