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Finding the Fourth Proportional to 12,222.11, 16,866.38 and 6,844.61

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Solution

The fourth proportional to 12,222.11, 16,866.38 and 6,844.61 is: 9,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.11 : 16,866.38 = 6,844.61 : x
  2. Step 2: Convert to fraction form
    12,222.11/16,866.38 = 6,844.61/x
  3. Step 3: Cross multiply
    12,222.11x = 16,866.38 × 6,844.61
  4. Step 4: Simplify right side
    12,222.11x = 115,443,852.49
  5. Step 5: Solve for x
    x = 115,443,852.49/12,222.11
  6. Step 6: Final answer
    x = 9,445.49

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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.