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Finding the Fourth Proportional to 11,029.46, 16,542.46 and 9,167.31

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Solution

The fourth proportional to 11,029.46, 16,542.46 and 9,167.31 is: 13,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.46 : 16,542.46 = 9,167.31 : x
  2. Step 2: Convert to fraction form
    11,029.46/16,542.46 = 9,167.31/x
  3. Step 3: Cross multiply
    11,029.46x = 16,542.46 × 9,167.31
  4. Step 4: Simplify right side
    11,029.46x = 151,649,858.98
  5. Step 5: Solve for x
    x = 151,649,858.98/11,029.46
  6. Step 6: Final answer
    x = 13,749.53

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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.