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Finding the Fourth Proportional to 41,131.26, 61,696.87 and 13,429.26

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Solution

The fourth proportional to 41,131.26, 61,696.87 and 13,429.26 is: 20,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,131.26 : 61,696.87 = 13,429.26 : x
  2. Step 2: Convert to fraction form
    41,131.26/61,696.87 = 13,429.26/x
  3. Step 3: Cross multiply
    41,131.26x = 61,696.87 × 13,429.26
  4. Step 4: Simplify right side
    41,131.26x = 828,543,308.42
  5. Step 5: Solve for x
    x = 828,543,308.42/41,131.26
  6. Step 6: Final answer
    x = 20,143.88

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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.