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Finding the Fourth Proportional to 12,208.60, 16,841.78 and 8,222.79

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Solution

The fourth proportional to 12,208.60, 16,841.78 and 8,222.79 is: 11,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.60 : 16,841.78 = 8,222.79 : x
  2. Step 2: Convert to fraction form
    12,208.60/16,841.78 = 8,222.79/x
  3. Step 3: Cross multiply
    12,208.60x = 16,841.78 × 8,222.79
  4. Step 4: Simplify right side
    12,208.60x = 138,486,379.05
  5. Step 5: Solve for x
    x = 138,486,379.05/12,208.60
  6. Step 6: Final answer
    x = 11,343.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.