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Finding the Fourth Proportional to 21,082.34, 31,615.82 and 6,286.26

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Solution

The fourth proportional to 21,082.34, 31,615.82 and 6,286.26 is: 9,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.34 : 31,615.82 = 6,286.26 : x
  2. Step 2: Convert to fraction form
    21,082.34/31,615.82 = 6,286.26/x
  3. Step 3: Cross multiply
    21,082.34x = 31,615.82 × 6,286.26
  4. Step 4: Simplify right side
    21,082.34x = 198,745,197.50
  5. Step 5: Solve for x
    x = 198,745,197.50/21,082.34
  6. Step 6: Final answer
    x = 9,427.09

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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.