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Finding the Fourth Proportional to 12,082.82, 18,123.42 and 3,317

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Solution

The fourth proportional to 12,082.82, 18,123.42 and 3,317 is: 4,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.82 : 18,123.42 = 3,317 : x
  2. Step 2: Convert to fraction form
    12,082.82/18,123.42 = 3,317/x
  3. Step 3: Cross multiply
    12,082.82x = 18,123.42 × 3,317
  4. Step 4: Simplify right side
    12,082.82x = 60,115,384.14
  5. Step 5: Solve for x
    x = 60,115,384.14/12,082.82
  6. Step 6: Final answer
    x = 4,975.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.