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Finding the Fourth Proportional to 20,993.49, 31,462.28 and 7,832.61

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Solution

The fourth proportional to 20,993.49, 31,462.28 and 7,832.61 is: 11,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.49 : 31,462.28 = 7,832.61 : x
  2. Step 2: Convert to fraction form
    20,993.49/31,462.28 = 7,832.61/x
  3. Step 3: Cross multiply
    20,993.49x = 31,462.28 × 7,832.61
  4. Step 4: Simplify right side
    20,993.49x = 246,431,768.95
  5. Step 5: Solve for x
    x = 246,431,768.95/20,993.49
  6. Step 6: Final answer
    x = 11,738.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.