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Finding the Fourth Proportional to 20,334, 30,501.18 and 8,022

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Solution

The fourth proportional to 20,334, 30,501.18 and 8,022 is: 12,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,334 : 30,501.18 = 8,022 : x
  2. Step 2: Convert to fraction form
    20,334/30,501.18 = 8,022/x
  3. Step 3: Cross multiply
    20,334x = 30,501.18 × 8,022
  4. Step 4: Simplify right side
    20,334x = 244,680,465.96
  5. Step 5: Solve for x
    x = 244,680,465.96/20,334
  6. Step 6: Final answer
    x = 12,033.07

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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.