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Finding the Fourth Proportional to 20,065.62, 30,093.30 and 8,227.74

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Solution

The fourth proportional to 20,065.62, 30,093.30 and 8,227.74 is: 12,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,065.62 : 30,093.30 = 8,227.74 : x
  2. Step 2: Convert to fraction form
    20,065.62/30,093.30 = 8,227.74/x
  3. Step 3: Cross multiply
    20,065.62x = 30,093.30 × 8,227.74
  4. Step 4: Simplify right side
    20,065.62x = 247,599,848.14
  5. Step 5: Solve for x
    x = 247,599,848.14/20,065.62
  6. Step 6: Final answer
    x = 12,339.51

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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.