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Finding the Fourth Proportional to 11,944.69, 17,916.32 and 3,624.77

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Solution

The fourth proportional to 11,944.69, 17,916.32 and 3,624.77 is: 5,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.69 : 17,916.32 = 3,624.77 : x
  2. Step 2: Convert to fraction form
    11,944.69/17,916.32 = 3,624.77/x
  3. Step 3: Cross multiply
    11,944.69x = 17,916.32 × 3,624.77
  4. Step 4: Simplify right side
    11,944.69x = 64,942,593.10
  5. Step 5: Solve for x
    x = 64,942,593.10/11,944.69
  6. Step 6: Final answer
    x = 5,436.94

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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.