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Finding the Fourth Proportional to 20,083.46, 30,143.89 and 10,230.15

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Solution

The fourth proportional to 20,083.46, 30,143.89 and 10,230.15 is: 15,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.46 : 30,143.89 = 10,230.15 : x
  2. Step 2: Convert to fraction form
    20,083.46/30,143.89 = 10,230.15/x
  3. Step 3: Cross multiply
    20,083.46x = 30,143.89 × 10,230.15
  4. Step 4: Simplify right side
    20,083.46x = 308,376,516.28
  5. Step 5: Solve for x
    x = 308,376,516.28/20,083.46
  6. Step 6: Final answer
    x = 15,354.75

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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.