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Finding the Fourth Proportional to 20,170.69, 27,832.17 and 11,217

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Solution

The fourth proportional to 20,170.69, 27,832.17 and 11,217 is: 15,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170.69 : 27,832.17 = 11,217 : x
  2. Step 2: Convert to fraction form
    20,170.69/27,832.17 = 11,217/x
  3. Step 3: Cross multiply
    20,170.69x = 27,832.17 × 11,217
  4. Step 4: Simplify right side
    20,170.69x = 312,193,450.89
  5. Step 5: Solve for x
    x = 312,193,450.89/20,170.69
  6. Step 6: Final answer
    x = 15,477.58

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1.5x scale

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.