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Finding the Fourth Proportional to 14,109.80, 19,471.79 and 7,735.97

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Solution

The fourth proportional to 14,109.80, 19,471.79 and 7,735.97 is: 10,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.80 : 19,471.79 = 7,735.97 : x
  2. Step 2: Convert to fraction form
    14,109.80/19,471.79 = 7,735.97/x
  3. Step 3: Cross multiply
    14,109.80x = 19,471.79 × 7,735.97
  4. Step 4: Simplify right side
    14,109.80x = 150,633,183.29
  5. Step 5: Solve for x
    x = 150,633,183.29/14,109.80
  6. Step 6: Final answer
    x = 10,675.78

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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.