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Finding the Fourth Proportional to 12,755.75, 19,136.68 and 6,174.24

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Solution

The fourth proportional to 12,755.75, 19,136.68 and 6,174.24 is: 9,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.75 : 19,136.68 = 6,174.24 : x
  2. Step 2: Convert to fraction form
    12,755.75/19,136.68 = 6,174.24/x
  3. Step 3: Cross multiply
    12,755.75x = 19,136.68 × 6,174.24
  4. Step 4: Simplify right side
    12,755.75x = 118,154,367.93
  5. Step 5: Solve for x
    x = 118,154,367.93/12,755.75
  6. Step 6: Final answer
    x = 9,262.84

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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.