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Finding the Fourth Proportional to 23,163.66, 34,747.54 and 6,523.84

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Solution

The fourth proportional to 23,163.66, 34,747.54 and 6,523.84 is: 9,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.66 : 34,747.54 = 6,523.84 : x
  2. Step 2: Convert to fraction form
    23,163.66/34,747.54 = 6,523.84/x
  3. Step 3: Cross multiply
    23,163.66x = 34,747.54 × 6,523.84
  4. Step 4: Simplify right side
    23,163.66x = 226,687,391.35
  5. Step 5: Solve for x
    x = 226,687,391.35/23,163.66
  6. Step 6: Final answer
    x = 9,786.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.