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Finding the Fourth Proportional to 22,806.32, 34,221.22 and 17,257.82

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Solution

The fourth proportional to 22,806.32, 34,221.22 and 17,257.82 is: 25,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.32 : 34,221.22 = 17,257.82 : x
  2. Step 2: Convert to fraction form
    22,806.32/34,221.22 = 17,257.82/x
  3. Step 3: Cross multiply
    22,806.32x = 34,221.22 × 17,257.82
  4. Step 4: Simplify right side
    22,806.32x = 590,583,654.94
  5. Step 5: Solve for x
    x = 590,583,654.94/22,806.32
  6. Step 6: Final answer
    x = 25,895.61

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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.