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Finding the Fourth Proportional to 20,609.37, 30,913.72 and 6,569.21

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Solution

The fourth proportional to 20,609.37, 30,913.72 and 6,569.21 is: 9,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.37 : 30,913.72 = 6,569.21 : x
  2. Step 2: Convert to fraction form
    20,609.37/30,913.72 = 6,569.21/x
  3. Step 3: Cross multiply
    20,609.37x = 30,913.72 × 6,569.21
  4. Step 4: Simplify right side
    20,609.37x = 203,078,718.56
  5. Step 5: Solve for x
    x = 203,078,718.56/20,609.37
  6. Step 6: Final answer
    x = 9,853.71

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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.