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Finding the Fourth Proportional to 20,671.44, 30,971.50 and 11,318.19

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Solution

The fourth proportional to 20,671.44, 30,971.50 and 11,318.19 is: 16,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671.44 : 30,971.50 = 11,318.19 : x
  2. Step 2: Convert to fraction form
    20,671.44/30,971.50 = 11,318.19/x
  3. Step 3: Cross multiply
    20,671.44x = 30,971.50 × 11,318.19
  4. Step 4: Simplify right side
    20,671.44x = 350,541,293.29
  5. Step 5: Solve for x
    x = 350,541,293.29/20,671.44
  6. Step 6: Final answer
    x = 16,957.76

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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.