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Finding the Fourth Proportional to 16,302.62, 24,453.69 and 5,209.16

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Solution

The fourth proportional to 16,302.62, 24,453.69 and 5,209.16 is: 7,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.62 : 24,453.69 = 5,209.16 : x
  2. Step 2: Convert to fraction form
    16,302.62/24,453.69 = 5,209.16/x
  3. Step 3: Cross multiply
    16,302.62x = 24,453.69 × 5,209.16
  4. Step 4: Simplify right side
    16,302.62x = 127,383,183.80
  5. Step 5: Solve for x
    x = 127,383,183.80/16,302.62
  6. Step 6: Final answer
    x = 7,813.66

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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.