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Finding the Fourth Proportional to 13,997.67, 20,987.19 and 9,556.71

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Solution

The fourth proportional to 13,997.67, 20,987.19 and 9,556.71 is: 14,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.67 : 20,987.19 = 9,556.71 : x
  2. Step 2: Convert to fraction form
    13,997.67/20,987.19 = 9,556.71/x
  3. Step 3: Cross multiply
    13,997.67x = 20,987.19 × 9,556.71
  4. Step 4: Simplify right side
    13,997.67x = 200,568,488.54
  5. Step 5: Solve for x
    x = 200,568,488.54/13,997.67
  6. Step 6: Final answer
    x = 14,328.71

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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.