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Finding the Fourth Proportional to 23,431.72, 35,149.38 and 6,791.98

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Solution

The fourth proportional to 23,431.72, 35,149.38 and 6,791.98 is: 10,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.72 : 35,149.38 = 6,791.98 : x
  2. Step 2: Convert to fraction form
    23,431.72/35,149.38 = 6,791.98/x
  3. Step 3: Cross multiply
    23,431.72x = 35,149.38 × 6,791.98
  4. Step 4: Simplify right side
    23,431.72x = 238,733,885.97
  5. Step 5: Solve for x
    x = 238,733,885.97/23,431.72
  6. Step 6: Final answer
    x = 10,188.49

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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.