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Finding the Fourth Proportional to 20,448.50, 30,672.71 and 6,409.61

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Solution

The fourth proportional to 20,448.50, 30,672.71 and 6,409.61 is: 9,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.50 : 30,672.71 = 6,409.61 : x
  2. Step 2: Convert to fraction form
    20,448.50/30,672.71 = 6,409.61/x
  3. Step 3: Cross multiply
    20,448.50x = 30,672.71 × 6,409.61
  4. Step 4: Simplify right side
    20,448.50x = 196,599,923.33
  5. Step 5: Solve for x
    x = 196,599,923.33/20,448.50
  6. Step 6: Final answer
    x = 9,614.40

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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.