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Finding the Fourth Proportional to 20,876.50, 31,306.98 and 8,392.33

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Solution

The fourth proportional to 20,876.50, 31,306.98 and 8,392.33 is: 12,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,876.50 : 31,306.98 = 8,392.33 : x
  2. Step 2: Convert to fraction form
    20,876.50/31,306.98 = 8,392.33/x
  3. Step 3: Cross multiply
    20,876.50x = 31,306.98 × 8,392.33
  4. Step 4: Simplify right side
    20,876.50x = 262,738,350.93
  5. Step 5: Solve for x
    x = 262,738,350.93/20,876.50
  6. Step 6: Final answer
    x = 12,585.36

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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.