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Finding the Fourth Proportional to 16,082.31, 24,128.44 and 7,205.12

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Solution

The fourth proportional to 16,082.31, 24,128.44 and 7,205.12 is: 10,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.31 : 24,128.44 = 7,205.12 : x
  2. Step 2: Convert to fraction form
    16,082.31/24,128.44 = 7,205.12/x
  3. Step 3: Cross multiply
    16,082.31x = 24,128.44 × 7,205.12
  4. Step 4: Simplify right side
    16,082.31x = 173,848,257.44
  5. Step 5: Solve for x
    x = 173,848,257.44/16,082.31
  6. Step 6: Final answer
    x = 10,809.90

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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.