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Finding the Fourth Proportional to 17,408.34, 24,033.99 and 16,412.04

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Solution

The fourth proportional to 17,408.34, 24,033.99 and 16,412.04 is: 22,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.34 : 24,033.99 = 16,412.04 : x
  2. Step 2: Convert to fraction form
    17,408.34/24,033.99 = 16,412.04/x
  3. Step 3: Cross multiply
    17,408.34x = 24,033.99 × 16,412.04
  4. Step 4: Simplify right side
    17,408.34x = 394,446,805.24
  5. Step 5: Solve for x
    x = 394,446,805.24/17,408.34
  6. Step 6: Final answer
    x = 22,658.50

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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.