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Finding the Fourth Proportional to 22,408.74, 33,613.10 and 9,246.64

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Solution

The fourth proportional to 22,408.74, 33,613.10 and 9,246.64 is: 13,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.74 : 33,613.10 = 9,246.64 : x
  2. Step 2: Convert to fraction form
    22,408.74/33,613.10 = 9,246.64/x
  3. Step 3: Cross multiply
    22,408.74x = 33,613.10 × 9,246.64
  4. Step 4: Simplify right side
    22,408.74x = 310,808,234.98
  5. Step 5: Solve for x
    x = 310,808,234.98/22,408.74
  6. Step 6: Final answer
    x = 13,869.96

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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.