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Finding the Fourth Proportional to 22,488.14, 33,732.75 and 7,696.96

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Solution

The fourth proportional to 22,488.14, 33,732.75 and 7,696.96 is: 11,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.14 : 33,732.75 = 7,696.96 : x
  2. Step 2: Convert to fraction form
    22,488.14/33,732.75 = 7,696.96/x
  3. Step 3: Cross multiply
    22,488.14x = 33,732.75 × 7,696.96
  4. Step 4: Simplify right side
    22,488.14x = 259,639,627.44
  5. Step 5: Solve for x
    x = 259,639,627.44/22,488.14
  6. Step 6: Final answer
    x = 11,545.62

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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.