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Finding the Fourth Proportional to 27,861.85, 38,450.02 and 15,286.60

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Solution

The fourth proportional to 27,861.85, 38,450.02 and 15,286.60 is: 21,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.85 : 38,450.02 = 15,286.60 : x
  2. Step 2: Convert to fraction form
    27,861.85/38,450.02 = 15,286.60/x
  3. Step 3: Cross multiply
    27,861.85x = 38,450.02 × 15,286.60
  4. Step 4: Simplify right side
    27,861.85x = 587,769,941.39
  5. Step 5: Solve for x
    x = 587,769,941.39/27,861.85
  6. Step 6: Final answer
    x = 21,095.87

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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.