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Finding the Fourth Proportional to 20,674.62, 30,994.68 and 9,589.23

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Solution

The fourth proportional to 20,674.62, 30,994.68 and 9,589.23 is: 14,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.62 : 30,994.68 = 9,589.23 : x
  2. Step 2: Convert to fraction form
    20,674.62/30,994.68 = 9,589.23/x
  3. Step 3: Cross multiply
    20,674.62x = 30,994.68 × 9,589.23
  4. Step 4: Simplify right side
    20,674.62x = 297,215,115.30
  5. Step 5: Solve for x
    x = 297,215,115.30/20,674.62
  6. Step 6: Final answer
    x = 14,375.84

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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.