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Finding the Fourth Proportional to 20,446.50, 30,669.70 and 6,407.60

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Solution

The fourth proportional to 20,446.50, 30,669.70 and 6,407.60 is: 9,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.50 : 30,669.70 = 6,407.60 : x
  2. Step 2: Convert to fraction form
    20,446.50/30,669.70 = 6,407.60/x
  3. Step 3: Cross multiply
    20,446.50x = 30,669.70 × 6,407.60
  4. Step 4: Simplify right side
    20,446.50x = 196,519,169.72
  5. Step 5: Solve for x
    x = 196,519,169.72/20,446.50
  6. Step 6: Final answer
    x = 9,611.38

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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.