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Finding the Fourth Proportional to 22,103.92, 30,506.01 and 12,414.97

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Solution

The fourth proportional to 22,103.92, 30,506.01 and 12,414.97 is: 17,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.92 : 30,506.01 = 12,414.97 : x
  2. Step 2: Convert to fraction form
    22,103.92/30,506.01 = 12,414.97/x
  3. Step 3: Cross multiply
    22,103.92x = 30,506.01 × 12,414.97
  4. Step 4: Simplify right side
    22,103.92x = 378,731,198.97
  5. Step 5: Solve for x
    x = 378,731,198.97/22,103.92
  6. Step 6: Final answer
    x = 17,134.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.