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Finding the Fourth Proportional to 12,169.35, 18,253.72 and 3,284.66

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Solution

The fourth proportional to 12,169.35, 18,253.72 and 3,284.66 is: 4,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.35 : 18,253.72 = 3,284.66 : x
  2. Step 2: Convert to fraction form
    12,169.35/18,253.72 = 3,284.66/x
  3. Step 3: Cross multiply
    12,169.35x = 18,253.72 × 3,284.66
  4. Step 4: Simplify right side
    12,169.35x = 59,957,313.68
  5. Step 5: Solve for x
    x = 59,957,313.68/12,169.35
  6. Step 6: Final answer
    x = 4,926.91

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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.