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Finding the Fourth Proportional to 20,073.20, 30,085.88 and 8,226.50

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Solution

The fourth proportional to 20,073.20, 30,085.88 and 8,226.50 is: 12,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.20 : 30,085.88 = 8,226.50 : x
  2. Step 2: Convert to fraction form
    20,073.20/30,085.88 = 8,226.50/x
  3. Step 3: Cross multiply
    20,073.20x = 30,085.88 × 8,226.50
  4. Step 4: Simplify right side
    20,073.20x = 247,501,346.53
  5. Step 5: Solve for x
    x = 247,501,346.53/20,073.20
  6. Step 6: Final answer
    x = 12,329.94

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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.