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Finding the Fourth Proportional to 24,372.54, 33,638.22 and 13,761.81

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Solution

The fourth proportional to 24,372.54, 33,638.22 and 13,761.81 is: 18,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.54 : 33,638.22 = 13,761.81 : x
  2. Step 2: Convert to fraction form
    24,372.54/33,638.22 = 13,761.81/x
  3. Step 3: Cross multiply
    24,372.54x = 33,638.22 × 13,761.81
  4. Step 4: Simplify right side
    24,372.54x = 462,922,792.38
  5. Step 5: Solve for x
    x = 462,922,792.38/24,372.54
  6. Step 6: Final answer
    x = 18,993.62

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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.