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Finding the Fourth Proportional to 11,996.64, 16,546.78 and 10,400.43

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Solution

The fourth proportional to 11,996.64, 16,546.78 and 10,400.43 is: 14,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.64 : 16,546.78 = 10,400.43 : x
  2. Step 2: Convert to fraction form
    11,996.64/16,546.78 = 10,400.43/x
  3. Step 3: Cross multiply
    11,996.64x = 16,546.78 × 10,400.43
  4. Step 4: Simplify right side
    11,996.64x = 172,093,575.11
  5. Step 5: Solve for x
    x = 172,093,575.11/11,996.64
  6. Step 6: Final answer
    x = 14,345.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.