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Finding the Fourth Proportional to 13,211.09, 19,817.22 and 5,419.25

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Solution

The fourth proportional to 13,211.09, 19,817.22 and 5,419.25 is: 8,129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.09 : 19,817.22 = 5,419.25 : x
  2. Step 2: Convert to fraction form
    13,211.09/19,817.22 = 5,419.25/x
  3. Step 3: Cross multiply
    13,211.09x = 19,817.22 × 5,419.25
  4. Step 4: Simplify right side
    13,211.09x = 107,394,469.49
  5. Step 5: Solve for x
    x = 107,394,469.49/13,211.09
  6. Step 6: Final answer
    x = 8,129.11

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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.