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Finding the Fourth Proportional to 11,817.24, 17,725.90 and 3,609.24

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Solution

The fourth proportional to 11,817.24, 17,725.90 and 3,609.24 is: 5,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.24 : 17,725.90 = 3,609.24 : x
  2. Step 2: Convert to fraction form
    11,817.24/17,725.90 = 3,609.24/x
  3. Step 3: Cross multiply
    11,817.24x = 17,725.90 × 3,609.24
  4. Step 4: Simplify right side
    11,817.24x = 63,977,027.32
  5. Step 5: Solve for x
    x = 63,977,027.32/11,817.24
  6. Step 6: Final answer
    x = 5,413.87

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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.