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Finding the Fourth Proportional to 20,438.33, 30,673.89 and 10,580.42

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Solution

The fourth proportional to 20,438.33, 30,673.89 and 10,580.42 is: 15,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.33 : 30,673.89 = 10,580.42 : x
  2. Step 2: Convert to fraction form
    20,438.33/30,673.89 = 10,580.42/x
  3. Step 3: Cross multiply
    20,438.33x = 30,673.89 × 10,580.42
  4. Step 4: Simplify right side
    20,438.33x = 324,542,715.92
  5. Step 5: Solve for x
    x = 324,542,715.92/20,438.33
  6. Step 6: Final answer
    x = 15,879.12

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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.