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Finding the Fourth Proportional to 20,496.26, 30,751.66 and 10,115.30

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Solution

The fourth proportional to 20,496.26, 30,751.66 and 10,115.30 is: 15,176.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.26 : 30,751.66 = 10,115.30 : x
  2. Step 2: Convert to fraction form
    20,496.26/30,751.66 = 10,115.30/x
  3. Step 3: Cross multiply
    20,496.26x = 30,751.66 × 10,115.30
  4. Step 4: Simplify right side
    20,496.26x = 311,062,266.40
  5. Step 5: Solve for x
    x = 311,062,266.40/20,496.26
  6. Step 6: Final answer
    x = 15,176.54

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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.