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Finding the Fourth Proportional to 28,183.42, 38,898.39 and 20,138.86

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Solution

The fourth proportional to 28,183.42, 38,898.39 and 20,138.86 is: 27,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183.42 : 38,898.39 = 20,138.86 : x
  2. Step 2: Convert to fraction form
    28,183.42/38,898.39 = 20,138.86/x
  3. Step 3: Cross multiply
    28,183.42x = 38,898.39 × 20,138.86
  4. Step 4: Simplify right side
    28,183.42x = 783,369,230.44
  5. Step 5: Solve for x
    x = 783,369,230.44/28,183.42
  6. Step 6: Final answer
    x = 27,795.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.