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Finding the Fourth Proportional to 20,397.75, 30,596.96 and 5,606.57

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Solution

The fourth proportional to 20,397.75, 30,596.96 and 5,606.57 is: 8,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397.75 : 30,596.96 = 5,606.57 : x
  2. Step 2: Convert to fraction form
    20,397.75/30,596.96 = 5,606.57/x
  3. Step 3: Cross multiply
    20,397.75x = 30,596.96 × 5,606.57
  4. Step 4: Simplify right side
    20,397.75x = 171,543,998.03
  5. Step 5: Solve for x
    x = 171,543,998.03/20,397.75
  6. Step 6: Final answer
    x = 8,409.95

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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.