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Finding the Fourth Proportional to 20,653.50, 30,982.12 and 6,613.90

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Solution

The fourth proportional to 20,653.50, 30,982.12 and 6,613.90 is: 9,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653.50 : 30,982.12 = 6,613.90 : x
  2. Step 2: Convert to fraction form
    20,653.50/30,982.12 = 6,613.90/x
  3. Step 3: Cross multiply
    20,653.50x = 30,982.12 × 6,613.90
  4. Step 4: Simplify right side
    20,653.50x = 204,912,643.47
  5. Step 5: Solve for x
    x = 204,912,643.47/20,653.50
  6. Step 6: Final answer
    x = 9,921.45

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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.