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Finding the Fourth Proportional to 12,099.24, 16,695.78 and 6,793.02

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Solution

The fourth proportional to 12,099.24, 16,695.78 and 6,793.02 is: 9,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.24 : 16,695.78 = 6,793.02 : x
  2. Step 2: Convert to fraction form
    12,099.24/16,695.78 = 6,793.02/x
  3. Step 3: Cross multiply
    12,099.24x = 16,695.78 × 6,793.02
  4. Step 4: Simplify right side
    12,099.24x = 113,414,767.46
  5. Step 5: Solve for x
    x = 113,414,767.46/12,099.24
  6. Step 6: Final answer
    x = 9,373.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.