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Finding the Fourth Proportional to 20,183.68, 30,187.84 and 11,843.84

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Solution

The fourth proportional to 20,183.68, 30,187.84 and 11,843.84 is: 17,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.68 : 30,187.84 = 11,843.84 : x
  2. Step 2: Convert to fraction form
    20,183.68/30,187.84 = 11,843.84/x
  3. Step 3: Cross multiply
    20,183.68x = 30,187.84 × 11,843.84
  4. Step 4: Simplify right side
    20,183.68x = 357,539,946.91
  5. Step 5: Solve for x
    x = 357,539,946.91/20,183.68
  6. Step 6: Final answer
    x = 17,714.31

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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.