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Finding the Fourth Proportional to 14,861.49, 20,505.49 and 10,082.09

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Solution

The fourth proportional to 14,861.49, 20,505.49 and 10,082.09 is: 13,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.49 : 20,505.49 = 10,082.09 : x
  2. Step 2: Convert to fraction form
    14,861.49/20,505.49 = 10,082.09/x
  3. Step 3: Cross multiply
    14,861.49x = 20,505.49 × 10,082.09
  4. Step 4: Simplify right side
    14,861.49x = 206,738,067.94
  5. Step 5: Solve for x
    x = 206,738,067.94/14,861.49
  6. Step 6: Final answer
    x = 13,910.99

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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.