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Finding the Fourth Proportional to 12,366.66, 18,545.43 and 8,667

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Solution

The fourth proportional to 12,366.66, 18,545.43 and 8,667 is: 12,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.66 : 18,545.43 = 8,667 : x
  2. Step 2: Convert to fraction form
    12,366.66/18,545.43 = 8,667/x
  3. Step 3: Cross multiply
    12,366.66x = 18,545.43 × 8,667
  4. Step 4: Simplify right side
    12,366.66x = 160,733,241.81
  5. Step 5: Solve for x
    x = 160,733,241.81/12,366.66
  6. Step 6: Final answer
    x = 12,997.30

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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.