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Finding the Fourth Proportional to 13,072.63, 19,609.01 and 3,211.91

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Solution

The fourth proportional to 13,072.63, 19,609.01 and 3,211.91 is: 4,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.63 : 19,609.01 = 3,211.91 : x
  2. Step 2: Convert to fraction form
    13,072.63/19,609.01 = 3,211.91/x
  3. Step 3: Cross multiply
    13,072.63x = 19,609.01 × 3,211.91
  4. Step 4: Simplify right side
    13,072.63x = 62,982,375.31
  5. Step 5: Solve for x
    x = 62,982,375.31/13,072.63
  6. Step 6: Final answer
    x = 4,817.88

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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.