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Finding the Fourth Proportional to 17,932.37, 24,745.64 and 9,974.12

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Solution

The fourth proportional to 17,932.37, 24,745.64 and 9,974.12 is: 13,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.37 : 24,745.64 = 9,974.12 : x
  2. Step 2: Convert to fraction form
    17,932.37/24,745.64 = 9,974.12/x
  3. Step 3: Cross multiply
    17,932.37x = 24,745.64 × 9,974.12
  4. Step 4: Simplify right side
    17,932.37x = 246,815,809.24
  5. Step 5: Solve for x
    x = 246,815,809.24/17,932.37
  6. Step 6: Final answer
    x = 13,763.71

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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.