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Finding the Fourth Proportional to 12,194.46, 18,283.80 and 8,021.85

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Solution

The fourth proportional to 12,194.46, 18,283.80 and 8,021.85 is: 12,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.46 : 18,283.80 = 8,021.85 : x
  2. Step 2: Convert to fraction form
    12,194.46/18,283.80 = 8,021.85/x
  3. Step 3: Cross multiply
    12,194.46x = 18,283.80 × 8,021.85
  4. Step 4: Simplify right side
    12,194.46x = 146,669,901.03
  5. Step 5: Solve for x
    x = 146,669,901.03/12,194.46
  6. Step 6: Final answer
    x = 12,027.58

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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.