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Finding the Fourth Proportional to 16,083.09, 24,091.56 and 7,738.47

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Solution

The fourth proportional to 16,083.09, 24,091.56 and 7,738.47 is: 11,591.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.09 : 24,091.56 = 7,738.47 : x
  2. Step 2: Convert to fraction form
    16,083.09/24,091.56 = 7,738.47/x
  3. Step 3: Cross multiply
    16,083.09x = 24,091.56 × 7,738.47
  4. Step 4: Simplify right side
    16,083.09x = 186,431,814.31
  5. Step 5: Solve for x
    x = 186,431,814.31/16,083.09
  6. Step 6: Final answer
    x = 11,591.79

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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.