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Finding the Fourth Proportional to 16,622.85, 24,913.49 and 8,305.20

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Solution

The fourth proportional to 16,622.85, 24,913.49 and 8,305.20 is: 12,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622.85 : 24,913.49 = 8,305.20 : x
  2. Step 2: Convert to fraction form
    16,622.85/24,913.49 = 8,305.20/x
  3. Step 3: Cross multiply
    16,622.85x = 24,913.49 × 8,305.20
  4. Step 4: Simplify right side
    16,622.85x = 206,911,475.62
  5. Step 5: Solve for x
    x = 206,911,475.62/16,622.85
  6. Step 6: Final answer
    x = 12,447.41

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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.