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Finding the Fourth Proportional to 11,644.96, 17,466.22 and 3,324.46

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Solution

The fourth proportional to 11,644.96, 17,466.22 and 3,324.46 is: 4,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.96 : 17,466.22 = 3,324.46 : x
  2. Step 2: Convert to fraction form
    11,644.96/17,466.22 = 3,324.46/x
  3. Step 3: Cross multiply
    11,644.96x = 17,466.22 × 3,324.46
  4. Step 4: Simplify right side
    11,644.96x = 58,065,749.74
  5. Step 5: Solve for x
    x = 58,065,749.74/11,644.96
  6. Step 6: Final answer
    x = 4,986.34

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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.