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Finding the Fourth Proportional to 12,793.36, 19,197.24 and 5,397.20

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Solution

The fourth proportional to 12,793.36, 19,197.24 and 5,397.20 is: 8,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.36 : 19,197.24 = 5,397.20 : x
  2. Step 2: Convert to fraction form
    12,793.36/19,197.24 = 5,397.20/x
  3. Step 3: Cross multiply
    12,793.36x = 19,197.24 × 5,397.20
  4. Step 4: Simplify right side
    12,793.36x = 103,611,343.73
  5. Step 5: Solve for x
    x = 103,611,343.73/12,793.36
  6. Step 6: Final answer
    x = 8,098.84

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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.