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Finding the Fourth Proportional to 20,770.31, 28,661.90 and 11,816.57

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Solution

The fourth proportional to 20,770.31, 28,661.90 and 11,816.57 is: 16,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.31 : 28,661.90 = 11,816.57 : x
  2. Step 2: Convert to fraction form
    20,770.31/28,661.90 = 11,816.57/x
  3. Step 3: Cross multiply
    20,770.31x = 28,661.90 × 11,816.57
  4. Step 4: Simplify right side
    20,770.31x = 338,685,145.29
  5. Step 5: Solve for x
    x = 338,685,145.29/20,770.31
  6. Step 6: Final answer
    x = 16,306.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.