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Finding the Fourth Proportional to 19,871.60, 29,824.20 and 8,193.20

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Solution

The fourth proportional to 19,871.60, 29,824.20 and 8,193.20 is: 12,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.60 : 29,824.20 = 8,193.20 : x
  2. Step 2: Convert to fraction form
    19,871.60/29,824.20 = 8,193.20/x
  3. Step 3: Cross multiply
    19,871.60x = 29,824.20 × 8,193.20
  4. Step 4: Simplify right side
    19,871.60x = 244,355,635.44
  5. Step 5: Solve for x
    x = 244,355,635.44/19,871.60
  6. Step 6: Final answer
    x = 12,296.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.