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Finding the Fourth Proportional to 20,503.58, 30,757.97 and 8,022

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Solution

The fourth proportional to 20,503.58, 30,757.97 and 8,022 is: 12,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.58 : 30,757.97 = 8,022 : x
  2. Step 2: Convert to fraction form
    20,503.58/30,757.97 = 8,022/x
  3. Step 3: Cross multiply
    20,503.58x = 30,757.97 × 8,022
  4. Step 4: Simplify right side
    20,503.58x = 246,740,435.34
  5. Step 5: Solve for x
    x = 246,740,435.34/20,503.58
  6. Step 6: Final answer
    x = 12,034.02

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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.