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Finding the Fourth Proportional to 12,205.80, 18,315.90 and 8,057.80

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Solution

The fourth proportional to 12,205.80, 18,315.90 and 8,057.80 is: 12,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.80 : 18,315.90 = 8,057.80 : x
  2. Step 2: Convert to fraction form
    12,205.80/18,315.90 = 8,057.80/x
  3. Step 3: Cross multiply
    12,205.80x = 18,315.90 × 8,057.80
  4. Step 4: Simplify right side
    12,205.80x = 147,585,859.02
  5. Step 5: Solve for x
    x = 147,585,859.02/12,205.80
  6. Step 6: Final answer
    x = 12,091.45

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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.