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Finding the Fourth Proportional to 12,617.14, 18,919.22 and 6,778.66

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Solution

The fourth proportional to 12,617.14, 18,919.22 and 6,778.66 is: 10,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.14 : 18,919.22 = 6,778.66 : x
  2. Step 2: Convert to fraction form
    12,617.14/18,919.22 = 6,778.66/x
  3. Step 3: Cross multiply
    12,617.14x = 18,919.22 × 6,778.66
  4. Step 4: Simplify right side
    12,617.14x = 128,246,959.85
  5. Step 5: Solve for x
    x = 128,246,959.85/12,617.14
  6. Step 6: Final answer
    x = 10,164.50

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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.