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Finding the Fourth Proportional to 14,174.34, 21,239.96 and 6,768.60

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Solution

The fourth proportional to 14,174.34, 21,239.96 and 6,768.60 is: 10,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.34 : 21,239.96 = 6,768.60 : x
  2. Step 2: Convert to fraction form
    14,174.34/21,239.96 = 6,768.60/x
  3. Step 3: Cross multiply
    14,174.34x = 21,239.96 × 6,768.60
  4. Step 4: Simplify right side
    14,174.34x = 143,764,759.41
  5. Step 5: Solve for x
    x = 143,764,759.41/14,174.34
  6. Step 6: Final answer
    x = 10,142.61

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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.