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Finding the Fourth Proportional to 22,546.28, 33,801.20 and 9,408.49

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Solution

The fourth proportional to 22,546.28, 33,801.20 and 9,408.49 is: 14,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.28 : 33,801.20 = 9,408.49 : x
  2. Step 2: Convert to fraction form
    22,546.28/33,801.20 = 9,408.49/x
  3. Step 3: Cross multiply
    22,546.28x = 33,801.20 × 9,408.49
  4. Step 4: Simplify right side
    22,546.28x = 318,018,155.92
  5. Step 5: Solve for x
    x = 318,018,155.92/22,546.28
  6. Step 6: Final answer
    x = 14,105.13

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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.