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Finding the Fourth Proportional to 20,010.20, 30,034.73 and 9,629.24

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Solution

The fourth proportional to 20,010.20, 30,034.73 and 9,629.24 is: 14,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,010.20 : 30,034.73 = 9,629.24 : x
  2. Step 2: Convert to fraction form
    20,010.20/30,034.73 = 9,629.24/x
  3. Step 3: Cross multiply
    20,010.20x = 30,034.73 × 9,629.24
  4. Step 4: Simplify right side
    20,010.20x = 289,211,497.40
  5. Step 5: Solve for x
    x = 289,211,497.40/20,010.20
  6. Step 6: Final answer
    x = 14,453.21

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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.