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Finding the Fourth Proportional to 22,624.35, 33,949.76 and 9,475.62

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Solution

The fourth proportional to 22,624.35, 33,949.76 and 9,475.62 is: 14,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.35 : 33,949.76 = 9,475.62 : x
  2. Step 2: Convert to fraction form
    22,624.35/33,949.76 = 9,475.62/x
  3. Step 3: Cross multiply
    22,624.35x = 33,949.76 × 9,475.62
  4. Step 4: Simplify right side
    22,624.35x = 321,694,977.47
  5. Step 5: Solve for x
    x = 321,694,977.47/22,624.35
  6. Step 6: Final answer
    x = 14,218.97

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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.