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Finding the Fourth Proportional to 24,183.82, 33,372.71 and 13,429.24

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Solution

The fourth proportional to 24,183.82, 33,372.71 and 13,429.24 is: 18,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183.82 : 33,372.71 = 13,429.24 : x
  2. Step 2: Convert to fraction form
    24,183.82/33,372.71 = 13,429.24/x
  3. Step 3: Cross multiply
    24,183.82x = 33,372.71 × 13,429.24
  4. Step 4: Simplify right side
    24,183.82x = 448,170,219.54
  5. Step 5: Solve for x
    x = 448,170,219.54/24,183.82
  6. Step 6: Final answer
    x = 18,531.82

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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.