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Finding the Fourth Proportional to 13,072.32, 19,608 and 3,211.44

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Solution

The fourth proportional to 13,072.32, 19,608 and 3,211.44 is: 4,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.32 : 19,608 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    13,072.32/19,608 = 3,211.44/x
  3. Step 3: Cross multiply
    13,072.32x = 19,608 × 3,211.44
  4. Step 4: Simplify right side
    13,072.32x = 62,969,915.52
  5. Step 5: Solve for x
    x = 62,969,915.52/13,072.32
  6. Step 6: Final answer
    x = 4,817.04

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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.