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Finding the Fourth Proportional to 12,129.78, 18,194.58 and 3,364.62

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Solution

The fourth proportional to 12,129.78, 18,194.58 and 3,364.62 is: 5,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.78 : 18,194.58 = 3,364.62 : x
  2. Step 2: Convert to fraction form
    12,129.78/18,194.58 = 3,364.62/x
  3. Step 3: Cross multiply
    12,129.78x = 18,194.58 × 3,364.62
  4. Step 4: Simplify right side
    12,129.78x = 61,217,847.76
  5. Step 5: Solve for x
    x = 61,217,847.76/12,129.78
  6. Step 6: Final answer
    x = 5,046.91

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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.