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Finding the Fourth Proportional to 16,584.76, 24,861.50 and 8,256.90

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Solution

The fourth proportional to 16,584.76, 24,861.50 and 8,256.90 is: 12,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.76 : 24,861.50 = 8,256.90 : x
  2. Step 2: Convert to fraction form
    16,584.76/24,861.50 = 8,256.90/x
  3. Step 3: Cross multiply
    16,584.76x = 24,861.50 × 8,256.90
  4. Step 4: Simplify right side
    16,584.76x = 205,278,919.35
  5. Step 5: Solve for x
    x = 205,278,919.35/16,584.76
  6. Step 6: Final answer
    x = 12,377.56

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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.