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Finding the Fourth Proportional to 22,148.38, 33,222.57 and 10,462.78

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Solution

The fourth proportional to 22,148.38, 33,222.57 and 10,462.78 is: 15,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.38 : 33,222.57 = 10,462.78 : x
  2. Step 2: Convert to fraction form
    22,148.38/33,222.57 = 10,462.78/x
  3. Step 3: Cross multiply
    22,148.38x = 33,222.57 × 10,462.78
  4. Step 4: Simplify right side
    22,148.38x = 347,600,440.94
  5. Step 5: Solve for x
    x = 347,600,440.94/22,148.38
  6. Step 6: Final answer
    x = 15,694.17

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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.