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Finding the Fourth Proportional to 22,408.14, 33,613.96 and 5,768.34

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Solution

The fourth proportional to 22,408.14, 33,613.96 and 5,768.34 is: 8,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.14 : 33,613.96 = 5,768.34 : x
  2. Step 2: Convert to fraction form
    22,408.14/33,613.96 = 5,768.34/x
  3. Step 3: Cross multiply
    22,408.14x = 33,613.96 × 5,768.34
  4. Step 4: Simplify right side
    22,408.14x = 193,896,750.03
  5. Step 5: Solve for x
    x = 193,896,750.03/22,408.14
  6. Step 6: Final answer
    x = 8,652.96

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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.