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Finding the Fourth Proportional to 12,166.90, 18,213.90 and 10,854.70

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Solution

The fourth proportional to 12,166.90, 18,213.90 and 10,854.70 is: 16,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.90 : 18,213.90 = 10,854.70 : x
  2. Step 2: Convert to fraction form
    12,166.90/18,213.90 = 10,854.70/x
  3. Step 3: Cross multiply
    12,166.90x = 18,213.90 × 10,854.70
  4. Step 4: Simplify right side
    12,166.90x = 197,706,420.33
  5. Step 5: Solve for x
    x = 197,706,420.33/12,166.90
  6. Step 6: Final answer
    x = 16,249.53

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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.