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Finding the Fourth Proportional to 11,922.69, 16,453.31 and 7,206.97

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Solution

The fourth proportional to 11,922.69, 16,453.31 and 7,206.97 is: 9,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.69 : 16,453.31 = 7,206.97 : x
  2. Step 2: Convert to fraction form
    11,922.69/16,453.31 = 7,206.97/x
  3. Step 3: Cross multiply
    11,922.69x = 16,453.31 × 7,206.97
  4. Step 4: Simplify right side
    11,922.69x = 118,578,511.57
  5. Step 5: Solve for x
    x = 118,578,511.57/11,922.69
  6. Step 6: Final answer
    x = 9,945.62

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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.