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Finding the Fourth Proportional to 23,163.60, 34,745.40 and 6,523.80

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Solution

The fourth proportional to 23,163.60, 34,745.40 and 6,523.80 is: 9,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.60 : 34,745.40 = 6,523.80 : x
  2. Step 2: Convert to fraction form
    23,163.60/34,745.40 = 6,523.80/x
  3. Step 3: Cross multiply
    23,163.60x = 34,745.40 × 6,523.80
  4. Step 4: Simplify right side
    23,163.60x = 226,672,040.52
  5. Step 5: Solve for x
    x = 226,672,040.52/23,163.60
  6. Step 6: Final answer
    x = 9,785.70

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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.