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Finding the Fourth Proportional to 24,773.91, 37,161.23 and 8,135.21

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Solution

The fourth proportional to 24,773.91, 37,161.23 and 8,135.21 is: 12,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773.91 : 37,161.23 = 8,135.21 : x
  2. Step 2: Convert to fraction form
    24,773.91/37,161.23 = 8,135.21/x
  3. Step 3: Cross multiply
    24,773.91x = 37,161.23 × 8,135.21
  4. Step 4: Simplify right side
    24,773.91x = 302,314,183.43
  5. Step 5: Solve for x
    x = 302,314,183.43/24,773.91
  6. Step 6: Final answer
    x = 12,202.93

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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.