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Finding the Fourth Proportional to 20,569, 30,850.26 and 9,475.24

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Solution

The fourth proportional to 20,569, 30,850.26 and 9,475.24 is: 14,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569 : 30,850.26 = 9,475.24 : x
  2. Step 2: Convert to fraction form
    20,569/30,850.26 = 9,475.24/x
  3. Step 3: Cross multiply
    20,569x = 30,850.26 × 9,475.24
  4. Step 4: Simplify right side
    20,569x = 292,313,617.56
  5. Step 5: Solve for x
    x = 292,313,617.56/20,569
  6. Step 6: Final answer
    x = 14,211.37

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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.