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Finding the Fourth Proportional to 16,511.80, 24,783.90 and 8,201.20

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Solution

The fourth proportional to 16,511.80, 24,783.90 and 8,201.20 is: 12,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.80 : 24,783.90 = 8,201.20 : x
  2. Step 2: Convert to fraction form
    16,511.80/24,783.90 = 8,201.20/x
  3. Step 3: Cross multiply
    16,511.80x = 24,783.90 × 8,201.20
  4. Step 4: Simplify right side
    16,511.80x = 203,257,720.68
  5. Step 5: Solve for x
    x = 203,257,720.68/16,511.80
  6. Step 6: Final answer
    x = 12,309.85

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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.