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Finding the Fourth Proportional to 20,083.28, 30,143.41 and 10,229.63

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Solution

The fourth proportional to 20,083.28, 30,143.41 and 10,229.63 is: 15,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.28 : 30,143.41 = 10,229.63 : x
  2. Step 2: Convert to fraction form
    20,083.28/30,143.41 = 10,229.63/x
  3. Step 3: Cross multiply
    20,083.28x = 30,143.41 × 10,229.63
  4. Step 4: Simplify right side
    20,083.28x = 308,355,754.95
  5. Step 5: Solve for x
    x = 308,355,754.95/20,083.28
  6. Step 6: Final answer
    x = 15,353.86

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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.