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Finding the Fourth Proportional to 16,000.40, 23,981.40 and 8,205.20

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Solution

The fourth proportional to 16,000.40, 23,981.40 and 8,205.20 is: 12,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.40 : 23,981.40 = 8,205.20 : x
  2. Step 2: Convert to fraction form
    16,000.40/23,981.40 = 8,205.20/x
  3. Step 3: Cross multiply
    16,000.40x = 23,981.40 × 8,205.20
  4. Step 4: Simplify right side
    16,000.40x = 196,772,183.28
  5. Step 5: Solve for x
    x = 196,772,183.28/16,000.40
  6. Step 6: Final answer
    x = 12,297.95

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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.