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Finding the Fourth Proportional to 20,658.56, 30,982.31 and 8,969

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Solution

The fourth proportional to 20,658.56, 30,982.31 and 8,969 is: 13,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658.56 : 30,982.31 = 8,969 : x
  2. Step 2: Convert to fraction form
    20,658.56/30,982.31 = 8,969/x
  3. Step 3: Cross multiply
    20,658.56x = 30,982.31 × 8,969
  4. Step 4: Simplify right side
    20,658.56x = 277,880,293.55
  5. Step 5: Solve for x
    x = 277,880,293.55/20,658.56
  6. Step 6: Final answer
    x = 13,451.10

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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.