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Finding the Fourth Proportional to 16,244.34, 24,321.57 and 8,329.80

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Solution

The fourth proportional to 16,244.34, 24,321.57 and 8,329.80 is: 12,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.34 : 24,321.57 = 8,329.80 : x
  2. Step 2: Convert to fraction form
    16,244.34/24,321.57 = 8,329.80/x
  3. Step 3: Cross multiply
    16,244.34x = 24,321.57 × 8,329.80
  4. Step 4: Simplify right side
    16,244.34x = 202,593,813.79
  5. Step 5: Solve for x
    x = 202,593,813.79/16,244.34
  6. Step 6: Final answer
    x = 12,471.66

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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.