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Finding the Fourth Proportional to 20,107.83, 30,178.14 and 10,249.92

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Solution

The fourth proportional to 20,107.83, 30,178.14 and 10,249.92 is: 15,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.83 : 30,178.14 = 10,249.92 : x
  2. Step 2: Convert to fraction form
    20,107.83/30,178.14 = 10,249.92/x
  3. Step 3: Cross multiply
    20,107.83x = 30,178.14 × 10,249.92
  4. Step 4: Simplify right side
    20,107.83x = 309,323,520.75
  5. Step 5: Solve for x
    x = 309,323,520.75/20,107.83
  6. Step 6: Final answer
    x = 15,383.24

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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.