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Finding the Fourth Proportional to 20,448.75, 30,673.07 and 6,409.85

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Solution

The fourth proportional to 20,448.75, 30,673.07 and 6,409.85 is: 9,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.75 : 30,673.07 = 6,409.85 : x
  2. Step 2: Convert to fraction form
    20,448.75/30,673.07 = 6,409.85/x
  3. Step 3: Cross multiply
    20,448.75x = 30,673.07 × 6,409.85
  4. Step 4: Simplify right side
    20,448.75x = 196,609,777.74
  5. Step 5: Solve for x
    x = 196,609,777.74/20,448.75
  6. Step 6: Final answer
    x = 9,614.76

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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.