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Finding the Fourth Proportional to 24,198.36, 36,299.82 and 9,408.42

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Solution

The fourth proportional to 24,198.36, 36,299.82 and 9,408.42 is: 14,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.36 : 36,299.82 = 9,408.42 : x
  2. Step 2: Convert to fraction form
    24,198.36/36,299.82 = 9,408.42/x
  3. Step 3: Cross multiply
    24,198.36x = 36,299.82 × 9,408.42
  4. Step 4: Simplify right side
    24,198.36x = 341,523,952.48
  5. Step 5: Solve for x
    x = 341,523,952.48/24,198.36
  6. Step 6: Final answer
    x = 14,113.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.