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Finding the Fourth Proportional to 20,367.28, 30,511.16 and 9,678.44

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Solution

The fourth proportional to 20,367.28, 30,511.16 and 9,678.44 is: 14,498.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,367.28 : 30,511.16 = 9,678.44 : x
  2. Step 2: Convert to fraction form
    20,367.28/30,511.16 = 9,678.44/x
  3. Step 3: Cross multiply
    20,367.28x = 30,511.16 × 9,678.44
  4. Step 4: Simplify right side
    20,367.28x = 295,300,431.39
  5. Step 5: Solve for x
    x = 295,300,431.39/20,367.28
  6. Step 6: Final answer
    x = 14,498.77

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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.