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Finding the Fourth Proportional to 24,399.74, 36,571.37 and 11,224.46

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Solution

The fourth proportional to 24,399.74, 36,571.37 and 11,224.46 is: 16,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.74 : 36,571.37 = 11,224.46 : x
  2. Step 2: Convert to fraction form
    24,399.74/36,571.37 = 11,224.46/x
  3. Step 3: Cross multiply
    24,399.74x = 36,571.37 × 11,224.46
  4. Step 4: Simplify right side
    24,399.74x = 410,493,915.02
  5. Step 5: Solve for x
    x = 410,493,915.02/24,399.74
  6. Step 6: Final answer
    x = 16,823.70

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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.