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Finding the Fourth Proportional to 20,149.94, 30,213.03 and 6,105.70

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Solution

The fourth proportional to 20,149.94, 30,213.03 and 6,105.70 is: 9,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.94 : 30,213.03 = 6,105.70 : x
  2. Step 2: Convert to fraction form
    20,149.94/30,213.03 = 6,105.70/x
  3. Step 3: Cross multiply
    20,149.94x = 30,213.03 × 6,105.70
  4. Step 4: Simplify right side
    20,149.94x = 184,471,697.27
  5. Step 5: Solve for x
    x = 184,471,697.27/20,149.94
  6. Step 6: Final answer
    x = 9,154.95

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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.