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Finding the Fourth Proportional to 22,183.68, 33,273.24 and 7,391

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Solution

The fourth proportional to 22,183.68, 33,273.24 and 7,391 is: 11,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.68 : 33,273.24 = 7,391 : x
  2. Step 2: Convert to fraction form
    22,183.68/33,273.24 = 7,391/x
  3. Step 3: Cross multiply
    22,183.68x = 33,273.24 × 7,391
  4. Step 4: Simplify right side
    22,183.68x = 245,922,516.84
  5. Step 5: Solve for x
    x = 245,922,516.84/22,183.68
  6. Step 6: Final answer
    x = 11,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.