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Finding the Fourth Proportional to 11,768.66, 16,231.29 and 10,349.30

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Solution

The fourth proportional to 11,768.66, 16,231.29 and 10,349.30 is: 14,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.66 : 16,231.29 = 10,349.30 : x
  2. Step 2: Convert to fraction form
    11,768.66/16,231.29 = 10,349.30/x
  3. Step 3: Cross multiply
    11,768.66x = 16,231.29 × 10,349.30
  4. Step 4: Simplify right side
    11,768.66x = 167,982,489.60
  5. Step 5: Solve for x
    x = 167,982,489.60/11,768.66
  6. Step 6: Final answer
    x = 14,273.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.