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Finding the Fourth Proportional to 15,183.74, 20,953.67 and 8,469.80

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Solution

The fourth proportional to 15,183.74, 20,953.67 and 8,469.80 is: 11,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183.74 : 20,953.67 = 8,469.80 : x
  2. Step 2: Convert to fraction form
    15,183.74/20,953.67 = 8,469.80/x
  3. Step 3: Cross multiply
    15,183.74x = 20,953.67 × 8,469.80
  4. Step 4: Simplify right side
    15,183.74x = 177,473,247.05
  5. Step 5: Solve for x
    x = 177,473,247.05/15,183.74
  6. Step 6: Final answer
    x = 11,688.38

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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.