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Finding the Fourth Proportional to 22,149.38, 33,205.37 and 9,660.24

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Solution

The fourth proportional to 22,149.38, 33,205.37 and 9,660.24 is: 14,482.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.38 : 33,205.37 = 9,660.24 : x
  2. Step 2: Convert to fraction form
    22,149.38/33,205.37 = 9,660.24/x
  3. Step 3: Cross multiply
    22,149.38x = 33,205.37 × 9,660.24
  4. Step 4: Simplify right side
    22,149.38x = 320,771,795.19
  5. Step 5: Solve for x
    x = 320,771,795.19/22,149.38
  6. Step 6: Final answer
    x = 14,482.21

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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.