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Finding the Fourth Proportional to 11,161.64, 16,745.54 and 9,076.49

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Solution

The fourth proportional to 11,161.64, 16,745.54 and 9,076.49 is: 13,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.64 : 16,745.54 = 9,076.49 : x
  2. Step 2: Convert to fraction form
    11,161.64/16,745.54 = 9,076.49/x
  3. Step 3: Cross multiply
    11,161.64x = 16,745.54 × 9,076.49
  4. Step 4: Simplify right side
    11,161.64x = 151,990,665.32
  5. Step 5: Solve for x
    x = 151,990,665.32/11,161.64
  6. Step 6: Final answer
    x = 13,617.24

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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.