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Finding the Fourth Proportional to 20,998.70, 31,454.85 and 10,616.30

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Solution

The fourth proportional to 20,998.70, 31,454.85 and 10,616.30 is: 15,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.70 : 31,454.85 = 10,616.30 : x
  2. Step 2: Convert to fraction form
    20,998.70/31,454.85 = 10,616.30/x
  3. Step 3: Cross multiply
    20,998.70x = 31,454.85 × 10,616.30
  4. Step 4: Simplify right side
    20,998.70x = 333,934,124.06
  5. Step 5: Solve for x
    x = 333,934,124.06/20,998.70
  6. Step 6: Final answer
    x = 15,902.61

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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.