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Finding the Fourth Proportional to 17,932.42, 24,745.98 and 9,974.62

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Solution

The fourth proportional to 17,932.42, 24,745.98 and 9,974.62 is: 13,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.42 : 24,745.98 = 9,974.62 : x
  2. Step 2: Convert to fraction form
    17,932.42/24,745.98 = 9,974.62/x
  3. Step 3: Cross multiply
    17,932.42x = 24,745.98 × 9,974.62
  4. Step 4: Simplify right side
    17,932.42x = 246,831,747.03
  5. Step 5: Solve for x
    x = 246,831,747.03/17,932.42
  6. Step 6: Final answer
    x = 13,764.55

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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.