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Finding the Fourth Proportional to 20,578.34, 30,884.83 and 15,910.92

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Solution

The fourth proportional to 20,578.34, 30,884.83 and 15,910.92 is: 23,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.34 : 30,884.83 = 15,910.92 : x
  2. Step 2: Convert to fraction form
    20,578.34/30,884.83 = 15,910.92/x
  3. Step 3: Cross multiply
    20,578.34x = 30,884.83 × 15,910.92
  4. Step 4: Simplify right side
    20,578.34x = 491,406,059.34
  5. Step 5: Solve for x
    x = 491,406,059.34/20,578.34
  6. Step 6: Final answer
    x = 23,879.77

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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.