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Finding the Fourth Proportional to 13,039.38, 17,997.19 and 8,006.24

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Solution

The fourth proportional to 13,039.38, 17,997.19 and 8,006.24 is: 11,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.38 : 17,997.19 = 8,006.24 : x
  2. Step 2: Convert to fraction form
    13,039.38/17,997.19 = 8,006.24/x
  3. Step 3: Cross multiply
    13,039.38x = 17,997.19 × 8,006.24
  4. Step 4: Simplify right side
    13,039.38x = 144,089,847.44
  5. Step 5: Solve for x
    x = 144,089,847.44/13,039.38
  6. Step 6: Final answer
    x = 11,050.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.