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Finding the Fourth Proportional to 24,704.38, 37,057.60 and 7,174.21

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Solution

The fourth proportional to 24,704.38, 37,057.60 and 7,174.21 is: 10,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.38 : 37,057.60 = 7,174.21 : x
  2. Step 2: Convert to fraction form
    24,704.38/37,057.60 = 7,174.21/x
  3. Step 3: Cross multiply
    24,704.38x = 37,057.60 × 7,174.21
  4. Step 4: Simplify right side
    24,704.38x = 265,859,004.50
  5. Step 5: Solve for x
    x = 265,859,004.50/24,704.38
  6. Step 6: Final answer
    x = 10,761.61

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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.