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Finding the Fourth Proportional to 16,450.96, 24,675.48 and 4,138

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Solution

The fourth proportional to 16,450.96, 24,675.48 and 4,138 is: 6,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450.96 : 24,675.48 = 4,138 : x
  2. Step 2: Convert to fraction form
    16,450.96/24,675.48 = 4,138/x
  3. Step 3: Cross multiply
    16,450.96x = 24,675.48 × 4,138
  4. Step 4: Simplify right side
    16,450.96x = 102,107,136.24
  5. Step 5: Solve for x
    x = 102,107,136.24/16,450.96
  6. Step 6: Final answer
    x = 6,206.76

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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.