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Finding the Fourth Proportional to 19,923.89, 29,861.19 and 10,065.96

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Solution

The fourth proportional to 19,923.89, 29,861.19 and 10,065.96 is: 15,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.89 : 29,861.19 = 10,065.96 : x
  2. Step 2: Convert to fraction form
    19,923.89/29,861.19 = 10,065.96/x
  3. Step 3: Cross multiply
    19,923.89x = 29,861.19 × 10,065.96
  4. Step 4: Simplify right side
    19,923.89x = 300,581,544.09
  5. Step 5: Solve for x
    x = 300,581,544.09/19,923.89
  6. Step 6: Final answer
    x = 15,086.49

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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.