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Finding the Fourth Proportional to 13,442.00, 20,164.23 and 4,082.04

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Solution

The fourth proportional to 13,442.00, 20,164.23 and 4,082.04 is: 6,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.00 : 20,164.23 = 4,082.04 : x
  2. Step 2: Convert to fraction form
    13,442.00/20,164.23 = 4,082.04/x
  3. Step 3: Cross multiply
    13,442.00x = 20,164.23 × 4,082.04
  4. Step 4: Simplify right side
    13,442.00x = 82,311,193.43
  5. Step 5: Solve for x
    x = 82,311,193.43/13,442.00
  6. Step 6: Final answer
    x = 6,123.44

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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.