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Finding the Fourth Proportional to 24,205.74, 33,403.84 and 13,450.57

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Solution

The fourth proportional to 24,205.74, 33,403.84 and 13,450.57 is: 18,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.74 : 33,403.84 = 13,450.57 : x
  2. Step 2: Convert to fraction form
    24,205.74/33,403.84 = 13,450.57/x
  3. Step 3: Cross multiply
    24,205.74x = 33,403.84 × 13,450.57
  4. Step 4: Simplify right side
    24,205.74x = 449,300,571.05
  5. Step 5: Solve for x
    x = 449,300,571.05/24,205.74
  6. Step 6: Final answer
    x = 18,561.74

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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.