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Finding the Fourth Proportional to 17,586, 26,379.33 and 8,223.48

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Solution

The fourth proportional to 17,586, 26,379.33 and 8,223.48 is: 12,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586 : 26,379.33 = 8,223.48 : x
  2. Step 2: Convert to fraction form
    17,586/26,379.33 = 8,223.48/x
  3. Step 3: Cross multiply
    17,586x = 26,379.33 × 8,223.48
  4. Step 4: Simplify right side
    17,586x = 216,929,892.67
  5. Step 5: Solve for x
    x = 216,929,892.67/17,586
  6. Step 6: Final answer
    x = 12,335.37

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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.