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Finding the Fourth Proportional to 19,735.26, 27,234.64 and 11,351.76

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Solution

The fourth proportional to 19,735.26, 27,234.64 and 11,351.76 is: 15,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.26 : 27,234.64 = 11,351.76 : x
  2. Step 2: Convert to fraction form
    19,735.26/27,234.64 = 11,351.76/x
  3. Step 3: Cross multiply
    19,735.26x = 27,234.64 × 11,351.76
  4. Step 4: Simplify right side
    19,735.26x = 309,161,096.97
  5. Step 5: Solve for x
    x = 309,161,096.97/19,735.26
  6. Step 6: Final answer
    x = 15,665.42

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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.