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Finding the Fourth Proportional to 16,024.80, 24,025.68 and 8,227.20

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Solution

The fourth proportional to 16,024.80, 24,025.68 and 8,227.20 is: 12,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.80 : 24,025.68 = 8,227.20 : x
  2. Step 2: Convert to fraction form
    16,024.80/24,025.68 = 8,227.20/x
  3. Step 3: Cross multiply
    16,024.80x = 24,025.68 × 8,227.20
  4. Step 4: Simplify right side
    16,024.80x = 197,664,074.50
  5. Step 5: Solve for x
    x = 197,664,074.50/16,024.80
  6. Step 6: Final answer
    x = 12,334.89

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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.