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Finding the Fourth Proportional to 29,693.56, 44,551.86 and 11,227

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Solution

The fourth proportional to 29,693.56, 44,551.86 and 11,227 is: 16,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,693.56 : 44,551.86 = 11,227 : x
  2. Step 2: Convert to fraction form
    29,693.56/44,551.86 = 11,227/x
  3. Step 3: Cross multiply
    29,693.56x = 44,551.86 × 11,227
  4. Step 4: Simplify right side
    29,693.56x = 500,183,732.22
  5. Step 5: Solve for x
    x = 500,183,732.22/29,693.56
  6. Step 6: Final answer
    x = 16,844.86

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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.