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Finding the Fourth Proportional to 20,523.26, 30,760.59 and 9,420.59

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Solution

The fourth proportional to 20,523.26, 30,760.59 and 9,420.59 is: 14,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.26 : 30,760.59 = 9,420.59 : x
  2. Step 2: Convert to fraction form
    20,523.26/30,760.59 = 9,420.59/x
  3. Step 3: Cross multiply
    20,523.26x = 30,760.59 × 9,420.59
  4. Step 4: Simplify right side
    20,523.26x = 289,782,906.55
  5. Step 5: Solve for x
    x = 289,782,906.55/20,523.26
  6. Step 6: Final answer
    x = 14,119.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.