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Finding the Fourth Proportional to 19,883.20, 29,824.32 and 8,197.12

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Solution

The fourth proportional to 19,883.20, 29,824.32 and 8,197.12 is: 12,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.20 : 29,824.32 = 8,197.12 : x
  2. Step 2: Convert to fraction form
    19,883.20/29,824.32 = 8,197.12/x
  3. Step 3: Cross multiply
    19,883.20x = 29,824.32 × 8,197.12
  4. Step 4: Simplify right side
    19,883.20x = 244,473,529.96
  5. Step 5: Solve for x
    x = 244,473,529.96/19,883.20
  6. Step 6: Final answer
    x = 12,295.48

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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.