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Finding the Fourth Proportional to 22,648.92, 33,938.72 and 9,494.12

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Solution

The fourth proportional to 22,648.92, 33,938.72 and 9,494.12 is: 14,226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.92 : 33,938.72 = 9,494.12 : x
  2. Step 2: Convert to fraction form
    22,648.92/33,938.72 = 9,494.12/x
  3. Step 3: Cross multiply
    22,648.92x = 33,938.72 × 9,494.12
  4. Step 4: Simplify right side
    22,648.92x = 322,218,280.33
  5. Step 5: Solve for x
    x = 322,218,280.33/22,648.92
  6. Step 6: Final answer
    x = 14,226.65

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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.