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Finding the Fourth Proportional to 24,369.41, 33,629.87 and 13,191.41

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Solution

The fourth proportional to 24,369.41, 33,629.87 and 13,191.41 is: 18,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.41 : 33,629.87 = 13,191.41 : x
  2. Step 2: Convert to fraction form
    24,369.41/33,629.87 = 13,191.41/x
  3. Step 3: Cross multiply
    24,369.41x = 33,629.87 × 13,191.41
  4. Step 4: Simplify right side
    24,369.41x = 443,625,257.10
  5. Step 5: Solve for x
    x = 443,625,257.10/24,369.41
  6. Step 6: Final answer
    x = 18,204.19

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