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Finding the Fourth Proportional to 17,776.56, 26,649.20 and 7,255.42

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Solution

The fourth proportional to 17,776.56, 26,649.20 and 7,255.42 is: 10,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.56 : 26,649.20 = 7,255.42 : x
  2. Step 2: Convert to fraction form
    17,776.56/26,649.20 = 7,255.42/x
  3. Step 3: Cross multiply
    17,776.56x = 26,649.20 × 7,255.42
  4. Step 4: Simplify right side
    17,776.56x = 193,351,138.66
  5. Step 5: Solve for x
    x = 193,351,138.66/17,776.56
  6. Step 6: Final answer
    x = 10,876.75

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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.