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Finding the Fourth Proportional to 12,182.68, 18,249.66 and 5,599.84

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Solution

The fourth proportional to 12,182.68, 18,249.66 and 5,599.84 is: 8,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.68 : 18,249.66 = 5,599.84 : x
  2. Step 2: Convert to fraction form
    12,182.68/18,249.66 = 5,599.84/x
  3. Step 3: Cross multiply
    12,182.68x = 18,249.66 × 5,599.84
  4. Step 4: Simplify right side
    12,182.68x = 102,195,176.05
  5. Step 5: Solve for x
    x = 102,195,176.05/12,182.68
  6. Step 6: Final answer
    x = 8,388.56

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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.