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Finding the Fourth Proportional to 20,647.48, 30,950.04 and 8,162.44

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Solution

The fourth proportional to 20,647.48, 30,950.04 and 8,162.44 is: 12,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.48 : 30,950.04 = 8,162.44 : x
  2. Step 2: Convert to fraction form
    20,647.48/30,950.04 = 8,162.44/x
  3. Step 3: Cross multiply
    20,647.48x = 30,950.04 × 8,162.44
  4. Step 4: Simplify right side
    20,647.48x = 252,627,844.50
  5. Step 5: Solve for x
    x = 252,627,844.50/20,647.48
  6. Step 6: Final answer
    x = 12,235.29

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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.