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Finding the Fourth Proportional to 17,576.82, 26,372.16 and 7,709.22

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Solution

The fourth proportional to 17,576.82, 26,372.16 and 7,709.22 is: 11,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.82 : 26,372.16 = 7,709.22 : x
  2. Step 2: Convert to fraction form
    17,576.82/26,372.16 = 7,709.22/x
  3. Step 3: Cross multiply
    17,576.82x = 26,372.16 × 7,709.22
  4. Step 4: Simplify right side
    17,576.82x = 203,308,783.32
  5. Step 5: Solve for x
    x = 203,308,783.32/17,576.82
  6. Step 6: Final answer
    x = 11,566.87

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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.