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Finding the Fourth Proportional to 12,697.38, 17,518.33 and 8,224.56

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Solution

The fourth proportional to 12,697.38, 17,518.33 and 8,224.56 is: 11,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.38 : 17,518.33 = 8,224.56 : x
  2. Step 2: Convert to fraction form
    12,697.38/17,518.33 = 8,224.56/x
  3. Step 3: Cross multiply
    12,697.38x = 17,518.33 × 8,224.56
  4. Step 4: Simplify right side
    12,697.38x = 144,080,556.18
  5. Step 5: Solve for x
    x = 144,080,556.18/12,697.38
  6. Step 6: Final answer
    x = 11,347.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.