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Finding the Fourth Proportional to 20,112.96, 30,163.04 and 8,424

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Solution

The fourth proportional to 20,112.96, 30,163.04 and 8,424 is: 12,633.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112.96 : 30,163.04 = 8,424 : x
  2. Step 2: Convert to fraction form
    20,112.96/30,163.04 = 8,424/x
  3. Step 3: Cross multiply
    20,112.96x = 30,163.04 × 8,424
  4. Step 4: Simplify right side
    20,112.96x = 254,093,448.96
  5. Step 5: Solve for x
    x = 254,093,448.96/20,112.96
  6. Step 6: Final answer
    x = 12,633.32

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Why These Related Problems?

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