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Finding the Fourth Proportional to 12,505.86, 18,737.24 and 8,286.44

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Solution

The fourth proportional to 12,505.86, 18,737.24 and 8,286.44 is: 12,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.86 : 18,737.24 = 8,286.44 : x
  2. Step 2: Convert to fraction form
    12,505.86/18,737.24 = 8,286.44/x
  3. Step 3: Cross multiply
    12,505.86x = 18,737.24 × 8,286.44
  4. Step 4: Simplify right side
    12,505.86x = 155,264,879.91
  5. Step 5: Solve for x
    x = 155,264,879.91/12,505.86
  6. Step 6: Final answer
    x = 12,415.37

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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.