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Finding the Fourth Proportional to 12,227.41, 16,872.17 and 7,188.67

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Solution

The fourth proportional to 12,227.41, 16,872.17 and 7,188.67 is: 9,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.41 : 16,872.17 = 7,188.67 : x
  2. Step 2: Convert to fraction form
    12,227.41/16,872.17 = 7,188.67/x
  3. Step 3: Cross multiply
    12,227.41x = 16,872.17 × 7,188.67
  4. Step 4: Simplify right side
    12,227.41x = 121,288,462.31
  5. Step 5: Solve for x
    x = 121,288,462.31/12,227.41
  6. Step 6: Final answer
    x = 9,919.39

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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.