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Finding the Fourth Proportional to 16,174.78, 24,262.86 and 5,645.86

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Solution

The fourth proportional to 16,174.78, 24,262.86 and 5,645.86 is: 8,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.78 : 24,262.86 = 5,645.86 : x
  2. Step 2: Convert to fraction form
    16,174.78/24,262.86 = 5,645.86/x
  3. Step 3: Cross multiply
    16,174.78x = 24,262.86 × 5,645.86
  4. Step 4: Simplify right side
    16,174.78x = 136,984,710.76
  5. Step 5: Solve for x
    x = 136,984,710.76/16,174.78
  6. Step 6: Final answer
    x = 8,469.03

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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.