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Finding the Fourth Proportional to 22,636.65, 33,933.11 and 7,834.44

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Solution

The fourth proportional to 22,636.65, 33,933.11 and 7,834.44 is: 11,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.65 : 33,933.11 = 7,834.44 : x
  2. Step 2: Convert to fraction form
    22,636.65/33,933.11 = 7,834.44/x
  3. Step 3: Cross multiply
    22,636.65x = 33,933.11 × 7,834.44
  4. Step 4: Simplify right side
    22,636.65x = 265,846,875.14
  5. Step 5: Solve for x
    x = 265,846,875.14/22,636.65
  6. Step 6: Final answer
    x = 11,744.09

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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.