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Finding the Fourth Proportional to 19,873.60, 29,827.20 and 8,195.20

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Solution

The fourth proportional to 19,873.60, 29,827.20 and 8,195.20 is: 12,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.60 : 29,827.20 = 8,195.20 : x
  2. Step 2: Convert to fraction form
    19,873.60/29,827.20 = 8,195.20/x
  3. Step 3: Cross multiply
    19,873.60x = 29,827.20 × 8,195.20
  4. Step 4: Simplify right side
    19,873.60x = 244,439,869.44
  5. Step 5: Solve for x
    x = 244,439,869.44/19,873.60
  6. Step 6: Final answer
    x = 12,299.73

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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.