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Finding the Fourth Proportional to 16,231.50, 24,332.67 and 5,840.82

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Solution

The fourth proportional to 16,231.50, 24,332.67 and 5,840.82 is: 8,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.50 : 24,332.67 = 5,840.82 : x
  2. Step 2: Convert to fraction form
    16,231.50/24,332.67 = 5,840.82/x
  3. Step 3: Cross multiply
    16,231.50x = 24,332.67 × 5,840.82
  4. Step 4: Simplify right side
    16,231.50x = 142,122,745.59
  5. Step 5: Solve for x
    x = 142,122,745.59/16,231.50
  6. Step 6: Final answer
    x = 8,755.98

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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.