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Finding the Fourth Proportional to 20,482.14, 30,735.17 and 8,635.20

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Solution

The fourth proportional to 20,482.14, 30,735.17 and 8,635.20 is: 12,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.14 : 30,735.17 = 8,635.20 : x
  2. Step 2: Convert to fraction form
    20,482.14/30,735.17 = 8,635.20/x
  3. Step 3: Cross multiply
    20,482.14x = 30,735.17 × 8,635.20
  4. Step 4: Simplify right side
    20,482.14x = 265,404,213.93
  5. Step 5: Solve for x
    x = 265,404,213.93/20,482.14
  6. Step 6: Final answer
    x = 12,957.83

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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.