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Finding the Fourth Proportional to 20,902.50, 31,363.04 and 8,446.85

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Solution

The fourth proportional to 20,902.50, 31,363.04 and 8,446.85 is: 12,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.50 : 31,363.04 = 8,446.85 : x
  2. Step 2: Convert to fraction form
    20,902.50/31,363.04 = 8,446.85/x
  3. Step 3: Cross multiply
    20,902.50x = 31,363.04 × 8,446.85
  4. Step 4: Simplify right side
    20,902.50x = 264,918,695.37
  5. Step 5: Solve for x
    x = 264,918,695.37/20,902.50
  6. Step 6: Final answer
    x = 12,674.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.