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Finding the Fourth Proportional to 20,494.24, 30,722.46 and 8,022.76

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Solution

The fourth proportional to 20,494.24, 30,722.46 and 8,022.76 is: 12,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.24 : 30,722.46 = 8,022.76 : x
  2. Step 2: Convert to fraction form
    20,494.24/30,722.46 = 8,022.76/x
  3. Step 3: Cross multiply
    20,494.24x = 30,722.46 × 8,022.76
  4. Step 4: Simplify right side
    20,494.24x = 246,478,923.19
  5. Step 5: Solve for x
    x = 246,478,923.19/20,494.24
  6. Step 6: Final answer
    x = 12,026.74

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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.