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Finding the Fourth Proportional to 22,665.20, 33,992.94 and 7,074.32

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Solution

The fourth proportional to 22,665.20, 33,992.94 and 7,074.32 is: 10,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.20 : 33,992.94 = 7,074.32 : x
  2. Step 2: Convert to fraction form
    22,665.20/33,992.94 = 7,074.32/x
  3. Step 3: Cross multiply
    22,665.20x = 33,992.94 × 7,074.32
  4. Step 4: Simplify right side
    22,665.20x = 240,476,935.30
  5. Step 5: Solve for x
    x = 240,476,935.30/22,665.20
  6. Step 6: Final answer
    x = 10,609.96

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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.