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Finding the Fourth Proportional to 22,471.92, 33,696.54 and 12,853.62

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Solution

The fourth proportional to 22,471.92, 33,696.54 and 12,853.62 is: 19,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.92 : 33,696.54 = 12,853.62 : x
  2. Step 2: Convert to fraction form
    22,471.92/33,696.54 = 12,853.62/x
  3. Step 3: Cross multiply
    22,471.92x = 33,696.54 × 12,853.62
  4. Step 4: Simplify right side
    22,471.92x = 433,122,520.47
  5. Step 5: Solve for x
    x = 433,122,520.47/22,471.92
  6. Step 6: Final answer
    x = 19,273.94

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1.5x scale

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.