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Finding the Fourth Proportional to 13,072.68, 19,608.42 and 3,212.04

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Solution

The fourth proportional to 13,072.68, 19,608.42 and 3,212.04 is: 4,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.68 : 19,608.42 = 3,212.04 : x
  2. Step 2: Convert to fraction form
    13,072.68/19,608.42 = 3,212.04/x
  3. Step 3: Cross multiply
    13,072.68x = 19,608.42 × 3,212.04
  4. Step 4: Simplify right side
    13,072.68x = 62,983,029.38
  5. Step 5: Solve for x
    x = 62,983,029.38/13,072.68
  6. Step 6: Final answer
    x = 4,817.91

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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.