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Finding the Fourth Proportional to 11,697.44, 17,526.68 and 8,227.36

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Solution

The fourth proportional to 11,697.44, 17,526.68 and 8,227.36 is: 12,327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.44 : 17,526.68 = 8,227.36 : x
  2. Step 2: Convert to fraction form
    11,697.44/17,526.68 = 8,227.36/x
  3. Step 3: Cross multiply
    11,697.44x = 17,526.68 × 8,227.36
  4. Step 4: Simplify right side
    11,697.44x = 144,198,305.96
  5. Step 5: Solve for x
    x = 144,198,305.96/11,697.44
  6. Step 6: Final answer
    x = 12,327.34

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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.