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Finding the Fourth Proportional to 12,196.53, 18,299.79 and 8,035.83

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Solution

The fourth proportional to 12,196.53, 18,299.79 and 8,035.83 is: 12,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.53 : 18,299.79 = 8,035.83 : x
  2. Step 2: Convert to fraction form
    12,196.53/18,299.79 = 8,035.83/x
  3. Step 3: Cross multiply
    12,196.53x = 18,299.79 × 8,035.83
  4. Step 4: Simplify right side
    12,196.53x = 147,054,001.48
  5. Step 5: Solve for x
    x = 147,054,001.48/12,196.53
  6. Step 6: Final answer
    x = 12,057.04

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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.