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Finding the Fourth Proportional to 22,612.67, 33,922.34 and 7,817.61

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Solution

The fourth proportional to 22,612.67, 33,922.34 and 7,817.61 is: 11,727.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.67 : 33,922.34 = 7,817.61 : x
  2. Step 2: Convert to fraction form
    22,612.67/33,922.34 = 7,817.61/x
  3. Step 3: Cross multiply
    22,612.67x = 33,922.34 × 7,817.61
  4. Step 4: Simplify right side
    22,612.67x = 265,191,785.82
  5. Step 5: Solve for x
    x = 265,191,785.82/22,612.67
  6. Step 6: Final answer
    x = 11,727.58

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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.