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Finding the Fourth Proportional to 12,226.39, 18,338.22 and 8,302.85

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Solution

The fourth proportional to 12,226.39, 18,338.22 and 8,302.85 is: 12,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.39 : 18,338.22 = 8,302.85 : x
  2. Step 2: Convert to fraction form
    12,226.39/18,338.22 = 8,302.85/x
  3. Step 3: Cross multiply
    12,226.39x = 18,338.22 × 8,302.85
  4. Step 4: Simplify right side
    12,226.39x = 152,259,593.51
  5. Step 5: Solve for x
    x = 152,259,593.51/12,226.39
  6. Step 6: Final answer
    x = 12,453.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.