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Finding the Fourth Proportional to 24,204.89, 33,403.17 and 13,450.74

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Solution

The fourth proportional to 24,204.89, 33,403.17 and 13,450.74 is: 18,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.89 : 33,403.17 = 13,450.74 : x
  2. Step 2: Convert to fraction form
    24,204.89/33,403.17 = 13,450.74/x
  3. Step 3: Cross multiply
    24,204.89x = 33,403.17 × 13,450.74
  4. Step 4: Simplify right side
    24,204.89x = 449,297,354.85
  5. Step 5: Solve for x
    x = 449,297,354.85/24,204.89
  6. Step 6: Final answer
    x = 18,562.26

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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.