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Finding the Fourth Proportional to 27,196.70, 40,794.03 and 7,474.75

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Solution

The fourth proportional to 27,196.70, 40,794.03 and 7,474.75 is: 11,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.70 : 40,794.03 = 7,474.75 : x
  2. Step 2: Convert to fraction form
    27,196.70/40,794.03 = 7,474.75/x
  3. Step 3: Cross multiply
    27,196.70x = 40,794.03 × 7,474.75
  4. Step 4: Simplify right side
    27,196.70x = 304,924,934.40
  5. Step 5: Solve for x
    x = 304,924,934.40/27,196.70
  6. Step 6: Final answer
    x = 11,211.84

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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.