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Finding the Fourth Proportional to 17,778.36, 26,648.82 and 6,677.88

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Solution

The fourth proportional to 17,778.36, 26,648.82 and 6,677.88 is: 10,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.36 : 26,648.82 = 6,677.88 : x
  2. Step 2: Convert to fraction form
    17,778.36/26,648.82 = 6,677.88/x
  3. Step 3: Cross multiply
    17,778.36x = 26,648.82 × 6,677.88
  4. Step 4: Simplify right side
    17,778.36x = 177,957,622.10
  5. Step 5: Solve for x
    x = 177,957,622.10/17,778.36
  6. Step 6: Final answer
    x = 10,009.79

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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.