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Finding the Fourth Proportional to 24,324.44, 36,464.72 and 8,738.42

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Solution

The fourth proportional to 24,324.44, 36,464.72 and 8,738.42 is: 13,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.44 : 36,464.72 = 8,738.42 : x
  2. Step 2: Convert to fraction form
    24,324.44/36,464.72 = 8,738.42/x
  3. Step 3: Cross multiply
    24,324.44x = 36,464.72 × 8,738.42
  4. Step 4: Simplify right side
    24,324.44x = 318,643,812.53
  5. Step 5: Solve for x
    x = 318,643,812.53/24,324.44
  6. Step 6: Final answer
    x = 13,099.74

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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.