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Finding the Fourth Proportional to 20,363.24, 30,523.54 and 8,523.80

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Solution

The fourth proportional to 20,363.24, 30,523.54 and 8,523.80 is: 12,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363.24 : 30,523.54 = 8,523.80 : x
  2. Step 2: Convert to fraction form
    20,363.24/30,523.54 = 8,523.80/x
  3. Step 3: Cross multiply
    20,363.24x = 30,523.54 × 8,523.80
  4. Step 4: Simplify right side
    20,363.24x = 260,176,550.25
  5. Step 5: Solve for x
    x = 260,176,550.25/20,363.24
  6. Step 6: Final answer
    x = 12,776.78

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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.