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Finding the Fourth Proportional to 12,121.92, 18,190.08 and 5,196.42

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Solution

The fourth proportional to 12,121.92, 18,190.08 and 5,196.42 is: 7,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.92 : 18,190.08 = 5,196.42 : x
  2. Step 2: Convert to fraction form
    12,121.92/18,190.08 = 5,196.42/x
  3. Step 3: Cross multiply
    12,121.92x = 18,190.08 × 5,196.42
  4. Step 4: Simplify right side
    12,121.92x = 94,523,295.51
  5. Step 5: Solve for x
    x = 94,523,295.51/12,121.92
  6. Step 6: Final answer
    x = 7,797.72

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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.