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Finding the Fourth Proportional to 16,823, 25,234.41 and 5,136.05

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Solution

The fourth proportional to 16,823, 25,234.41 and 5,136.05 is: 7,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 25,234.41 = 5,136.05 : x
  2. Step 2: Convert to fraction form
    16,823/25,234.41 = 5,136.05/x
  3. Step 3: Cross multiply
    16,823x = 25,234.41 × 5,136.05
  4. Step 4: Simplify right side
    16,823x = 129,605,191.48
  5. Step 5: Solve for x
    x = 129,605,191.48/16,823
  6. Step 6: Final answer
    x = 7,704.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.