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Finding the Fourth Proportional to 20,872.50, 31,309.09 and 6,082.23

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Solution

The fourth proportional to 20,872.50, 31,309.09 and 6,082.23 is: 9,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.50 : 31,309.09 = 6,082.23 : x
  2. Step 2: Convert to fraction form
    20,872.50/31,309.09 = 6,082.23/x
  3. Step 3: Cross multiply
    20,872.50x = 31,309.09 × 6,082.23
  4. Step 4: Simplify right side
    20,872.50x = 190,428,899.51
  5. Step 5: Solve for x
    x = 190,428,899.51/20,872.50
  6. Step 6: Final answer
    x = 9,123.44

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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.