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Finding the Fourth Proportional to 22,097.57, 33,156.36 and 20,228.81

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Solution

The fourth proportional to 22,097.57, 33,156.36 and 20,228.81 is: 30,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.57 : 33,156.36 = 20,228.81 : x
  2. Step 2: Convert to fraction form
    22,097.57/33,156.36 = 20,228.81/x
  3. Step 3: Cross multiply
    22,097.57x = 33,156.36 × 20,228.81
  4. Step 4: Simplify right side
    22,097.57x = 670,713,706.73
  5. Step 5: Solve for x
    x = 670,713,706.73/22,097.57
  6. Step 6: Final answer
    x = 30,352.37

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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.