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Finding the Fourth Proportional to 20,493.12, 30,747.24 and 8,019.12

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Solution

The fourth proportional to 20,493.12, 30,747.24 and 8,019.12 is: 12,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.12 : 30,747.24 = 8,019.12 : x
  2. Step 2: Convert to fraction form
    20,493.12/30,747.24 = 8,019.12/x
  3. Step 3: Cross multiply
    20,493.12x = 30,747.24 × 8,019.12
  4. Step 4: Simplify right side
    20,493.12x = 246,565,807.23
  5. Step 5: Solve for x
    x = 246,565,807.23/20,493.12
  6. Step 6: Final answer
    x = 12,031.64

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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.