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Finding the Fourth Proportional to 20,494.92, 30,721.84 and 7,997.74

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Solution

The fourth proportional to 20,494.92, 30,721.84 and 7,997.74 is: 11,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.92 : 30,721.84 = 7,997.74 : x
  2. Step 2: Convert to fraction form
    20,494.92/30,721.84 = 7,997.74/x
  3. Step 3: Cross multiply
    20,494.92x = 30,721.84 × 7,997.74
  4. Step 4: Simplify right side
    20,494.92x = 245,705,288.64
  5. Step 5: Solve for x
    x = 245,705,288.64/20,494.92
  6. Step 6: Final answer
    x = 11,988.59

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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.