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Finding the Fourth Proportional to 24,201.69, 33,397.16 and 13,447.24

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Solution

The fourth proportional to 24,201.69, 33,397.16 and 13,447.24 is: 18,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,201.69 : 33,397.16 = 13,447.24 : x
  2. Step 2: Convert to fraction form
    24,201.69/33,397.16 = 13,447.24/x
  3. Step 3: Cross multiply
    24,201.69x = 33,397.16 × 13,447.24
  4. Step 4: Simplify right side
    24,201.69x = 449,099,625.84
  5. Step 5: Solve for x
    x = 449,099,625.84/24,201.69
  6. Step 6: Final answer
    x = 18,556.54

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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.