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Finding the Fourth Proportional to 20,511.34, 30,822.60 and 11,158.27

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Solution

The fourth proportional to 20,511.34, 30,822.60 and 11,158.27 is: 16,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.34 : 30,822.60 = 11,158.27 : x
  2. Step 2: Convert to fraction form
    20,511.34/30,822.60 = 11,158.27/x
  3. Step 3: Cross multiply
    20,511.34x = 30,822.60 × 11,158.27
  4. Step 4: Simplify right side
    20,511.34x = 343,926,999.68
  5. Step 5: Solve for x
    x = 343,926,999.68/20,511.34
  6. Step 6: Final answer
    x = 16,767.65

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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.