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Finding the Fourth Proportional to 20,522.26, 30,759.09 and 9,419.59

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Solution

The fourth proportional to 20,522.26, 30,759.09 and 9,419.59 is: 14,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.26 : 30,759.09 = 9,419.59 : x
  2. Step 2: Convert to fraction form
    20,522.26/30,759.09 = 9,419.59/x
  3. Step 3: Cross multiply
    20,522.26x = 30,759.09 × 9,419.59
  4. Step 4: Simplify right side
    20,522.26x = 289,738,016.57
  5. Step 5: Solve for x
    x = 289,738,016.57/20,522.26
  6. Step 6: Final answer
    x = 14,118.23

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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.