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Finding the Fourth Proportional to 20,449.50, 30,678.60 and 8,137.50

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Solution

The fourth proportional to 20,449.50, 30,678.60 and 8,137.50 is: 12,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.50 : 30,678.60 = 8,137.50 : x
  2. Step 2: Convert to fraction form
    20,449.50/30,678.60 = 8,137.50/x
  3. Step 3: Cross multiply
    20,449.50x = 30,678.60 × 8,137.50
  4. Step 4: Simplify right side
    20,449.50x = 249,647,107.50
  5. Step 5: Solve for x
    x = 249,647,107.50/20,449.50
  6. Step 6: Final answer
    x = 12,207.98

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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.