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Finding the Fourth Proportional to 16,174.67, 24,247.58 and 6,311.66

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Solution

The fourth proportional to 16,174.67, 24,247.58 and 6,311.66 is: 9,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.67 : 24,247.58 = 6,311.66 : x
  2. Step 2: Convert to fraction form
    16,174.67/24,247.58 = 6,311.66/x
  3. Step 3: Cross multiply
    16,174.67x = 24,247.58 × 6,311.66
  4. Step 4: Simplify right side
    16,174.67x = 153,042,327.99
  5. Step 5: Solve for x
    x = 153,042,327.99/16,174.67
  6. Step 6: Final answer
    x = 9,461.85

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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.