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Finding the Fourth Proportional to 20,147, 30,223.22 and 6,297.08

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Solution

The fourth proportional to 20,147, 30,223.22 and 6,297.08 is: 9,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 30,223.22 = 6,297.08 : x
  2. Step 2: Convert to fraction form
    20,147/30,223.22 = 6,297.08/x
  3. Step 3: Cross multiply
    20,147x = 30,223.22 × 6,297.08
  4. Step 4: Simplify right side
    20,147x = 190,318,034.20
  5. Step 5: Solve for x
    x = 190,318,034.20/20,147
  6. Step 6: Final answer
    x = 9,446.47

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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.