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Finding the Fourth Proportional to 19,766.86, 29,650.11 and 8,071.87

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Solution

The fourth proportional to 19,766.86, 29,650.11 and 8,071.87 is: 12,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.86 : 29,650.11 = 8,071.87 : x
  2. Step 2: Convert to fraction form
    19,766.86/29,650.11 = 8,071.87/x
  3. Step 3: Cross multiply
    19,766.86x = 29,650.11 × 8,071.87
  4. Step 4: Simplify right side
    19,766.86x = 239,331,833.41
  5. Step 5: Solve for x
    x = 239,331,833.41/19,766.86
  6. Step 6: Final answer
    x = 12,107.73

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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.