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Finding the Fourth Proportional to 22,189.92, 33,292.08 and 8,340

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Solution

The fourth proportional to 22,189.92, 33,292.08 and 8,340 is: 12,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.92 : 33,292.08 = 8,340 : x
  2. Step 2: Convert to fraction form
    22,189.92/33,292.08 = 8,340/x
  3. Step 3: Cross multiply
    22,189.92x = 33,292.08 × 8,340
  4. Step 4: Simplify right side
    22,189.92x = 277,655,947.20
  5. Step 5: Solve for x
    x = 277,655,947.20/22,189.92
  6. Step 6: Final answer
    x = 12,512.71

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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.