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Finding the Fourth Proportional to 20,564.69, 30,896.30 and 13,183.56

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Solution

The fourth proportional to 20,564.69, 30,896.30 and 13,183.56 is: 19,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.69 : 30,896.30 = 13,183.56 : x
  2. Step 2: Convert to fraction form
    20,564.69/30,896.30 = 13,183.56/x
  3. Step 3: Cross multiply
    20,564.69x = 30,896.30 × 13,183.56
  4. Step 4: Simplify right side
    20,564.69x = 407,323,257.79
  5. Step 5: Solve for x
    x = 407,323,257.79/20,564.69
  6. Step 6: Final answer
    x = 19,806.93

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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.