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Finding the Fourth Proportional to 15,930.26, 23,900.25 and 8,144.54

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Solution

The fourth proportional to 15,930.26, 23,900.25 and 8,144.54 is: 12,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.26 : 23,900.25 = 8,144.54 : x
  2. Step 2: Convert to fraction form
    15,930.26/23,900.25 = 8,144.54/x
  3. Step 3: Cross multiply
    15,930.26x = 23,900.25 × 8,144.54
  4. Step 4: Simplify right side
    15,930.26x = 194,656,542.14
  5. Step 5: Solve for x
    x = 194,656,542.14/15,930.26
  6. Step 6: Final answer
    x = 12,219.29

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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.