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Finding the Fourth Proportional to 20,120.30, 30,183.81 and 8,434.40

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Solution

The fourth proportional to 20,120.30, 30,183.81 and 8,434.40 is: 12,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.30 : 30,183.81 = 8,434.40 : x
  2. Step 2: Convert to fraction form
    20,120.30/30,183.81 = 8,434.40/x
  3. Step 3: Cross multiply
    20,120.30x = 30,183.81 × 8,434.40
  4. Step 4: Simplify right side
    20,120.30x = 254,582,327.06
  5. Step 5: Solve for x
    x = 254,582,327.06/20,120.30
  6. Step 6: Final answer
    x = 12,653.01

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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.