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Finding the Fourth Proportional to 20,290.96, 30,442.06 and 8,450.30

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Solution

The fourth proportional to 20,290.96, 30,442.06 and 8,450.30 is: 12,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,290.96 : 30,442.06 = 8,450.30 : x
  2. Step 2: Convert to fraction form
    20,290.96/30,442.06 = 8,450.30/x
  3. Step 3: Cross multiply
    20,290.96x = 30,442.06 × 8,450.30
  4. Step 4: Simplify right side
    20,290.96x = 257,244,594.60
  5. Step 5: Solve for x
    x = 257,244,594.60/20,290.96
  6. Step 6: Final answer
    x = 12,677.79

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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.