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Finding the Fourth Proportional to 15,152.97, 22,721.22 and 8,141.34

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Solution

The fourth proportional to 15,152.97, 22,721.22 and 8,141.34 is: 12,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.97 : 22,721.22 = 8,141.34 : x
  2. Step 2: Convert to fraction form
    15,152.97/22,721.22 = 8,141.34/x
  3. Step 3: Cross multiply
    15,152.97x = 22,721.22 × 8,141.34
  4. Step 4: Simplify right side
    15,152.97x = 184,981,177.23
  5. Step 5: Solve for x
    x = 184,981,177.23/15,152.97
  6. Step 6: Final answer
    x = 12,207.59

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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.