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Finding the Fourth Proportional to 20,544.26, 30,813.03 and 9,450.50

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Solution

The fourth proportional to 20,544.26, 30,813.03 and 9,450.50 is: 14,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544.26 : 30,813.03 = 9,450.50 : x
  2. Step 2: Convert to fraction form
    20,544.26/30,813.03 = 9,450.50/x
  3. Step 3: Cross multiply
    20,544.26x = 30,813.03 × 9,450.50
  4. Step 4: Simplify right side
    20,544.26x = 291,198,540.02
  5. Step 5: Solve for x
    x = 291,198,540.02/20,544.26
  6. Step 6: Final answer
    x = 14,174.20

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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.