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Finding the Fourth Proportional to 16,523.80, 24,801.90 and 8,213.20

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Solution

The fourth proportional to 16,523.80, 24,801.90 and 8,213.20 is: 12,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.80 : 24,801.90 = 8,213.20 : x
  2. Step 2: Convert to fraction form
    16,523.80/24,801.90 = 8,213.20/x
  3. Step 3: Cross multiply
    16,523.80x = 24,801.90 × 8,213.20
  4. Step 4: Simplify right side
    16,523.80x = 203,702,965.08
  5. Step 5: Solve for x
    x = 203,702,965.08/16,523.80
  6. Step 6: Final answer
    x = 12,327.85

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1.5x scale

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.