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Finding the Fourth Proportional to 20,119.70, 30,183.15 and 8,434.10

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Solution

The fourth proportional to 20,119.70, 30,183.15 and 8,434.10 is: 12,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,119.70 : 30,183.15 = 8,434.10 : x
  2. Step 2: Convert to fraction form
    20,119.70/30,183.15 = 8,434.10/x
  3. Step 3: Cross multiply
    20,119.70x = 30,183.15 × 8,434.10
  4. Step 4: Simplify right side
    20,119.70x = 254,567,705.42
  5. Step 5: Solve for x
    x = 254,567,705.42/20,119.70
  6. Step 6: Final answer
    x = 12,652.66

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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.