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Finding the Fourth Proportional to 27,193.38, 40,794.39 and 11,611.14

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Solution

The fourth proportional to 27,193.38, 40,794.39 and 11,611.14 is: 17,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.38 : 40,794.39 = 11,611.14 : x
  2. Step 2: Convert to fraction form
    27,193.38/40,794.39 = 11,611.14/x
  3. Step 3: Cross multiply
    27,193.38x = 40,794.39 × 11,611.14
  4. Step 4: Simplify right side
    27,193.38x = 473,669,373.50
  5. Step 5: Solve for x
    x = 473,669,373.50/27,193.38
  6. Step 6: Final answer
    x = 17,418.55

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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.