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Finding the Fourth Proportional to 20,435.96, 30,654.01 and 5,644.55

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Solution

The fourth proportional to 20,435.96, 30,654.01 and 5,644.55 is: 8,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.96 : 30,654.01 = 5,644.55 : x
  2. Step 2: Convert to fraction form
    20,435.96/30,654.01 = 5,644.55/x
  3. Step 3: Cross multiply
    20,435.96x = 30,654.01 × 5,644.55
  4. Step 4: Simplify right side
    20,435.96x = 173,028,092.15
  5. Step 5: Solve for x
    x = 173,028,092.15/20,435.96
  6. Step 6: Final answer
    x = 8,466.84

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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.