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Finding the Fourth Proportional to 16,067.70, 24,101.55 and 8,170.20

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Solution

The fourth proportional to 16,067.70, 24,101.55 and 8,170.20 is: 12,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.70 : 24,101.55 = 8,170.20 : x
  2. Step 2: Convert to fraction form
    16,067.70/24,101.55 = 8,170.20/x
  3. Step 3: Cross multiply
    16,067.70x = 24,101.55 × 8,170.20
  4. Step 4: Simplify right side
    16,067.70x = 196,914,483.81
  5. Step 5: Solve for x
    x = 196,914,483.81/16,067.70
  6. Step 6: Final answer
    x = 12,255.30

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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.