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Finding the Fourth Proportional to 17,425.50, 26,149.77 and 8,192.22

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Solution

The fourth proportional to 17,425.50, 26,149.77 and 8,192.22 is: 12,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425.50 : 26,149.77 = 8,192.22 : x
  2. Step 2: Convert to fraction form
    17,425.50/26,149.77 = 8,192.22/x
  3. Step 3: Cross multiply
    17,425.50x = 26,149.77 × 8,192.22
  4. Step 4: Simplify right side
    17,425.50x = 214,224,668.79
  5. Step 5: Solve for x
    x = 214,224,668.79/17,425.50
  6. Step 6: Final answer
    x = 12,293.75

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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.