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Finding the Fourth Proportional to 22,082.63, 33,131.23 and 8,927.82

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Solution

The fourth proportional to 22,082.63, 33,131.23 and 8,927.82 is: 13,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.63 : 33,131.23 = 8,927.82 : x
  2. Step 2: Convert to fraction form
    22,082.63/33,131.23 = 8,927.82/x
  3. Step 3: Cross multiply
    22,082.63x = 33,131.23 × 8,927.82
  4. Step 4: Simplify right side
    22,082.63x = 295,789,635.50
  5. Step 5: Solve for x
    x = 295,789,635.50/22,082.63
  6. Step 6: Final answer
    x = 13,394.68

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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.