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Finding the Fourth Proportional to 17,932.10, 24,745.94 and 9,974.15

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Solution

The fourth proportional to 17,932.10, 24,745.94 and 9,974.15 is: 13,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.10 : 24,745.94 = 9,974.15 : x
  2. Step 2: Convert to fraction form
    17,932.10/24,745.94 = 9,974.15/x
  3. Step 3: Cross multiply
    17,932.10x = 24,745.94 × 9,974.15
  4. Step 4: Simplify right side
    17,932.10x = 246,819,717.45
  5. Step 5: Solve for x
    x = 246,819,717.45/17,932.10
  6. Step 6: Final answer
    x = 13,764.13

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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.