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Finding the Fourth Proportional to 16,131.70, 24,200.38 and 7,367.50

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Solution

The fourth proportional to 16,131.70, 24,200.38 and 7,367.50 is: 11,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.70 : 24,200.38 = 7,367.50 : x
  2. Step 2: Convert to fraction form
    16,131.70/24,200.38 = 7,367.50/x
  3. Step 3: Cross multiply
    16,131.70x = 24,200.38 × 7,367.50
  4. Step 4: Simplify right side
    16,131.70x = 178,296,299.65
  5. Step 5: Solve for x
    x = 178,296,299.65/16,131.70
  6. Step 6: Final answer
    x = 11,052.54

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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.