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Finding the Fourth Proportional to 13,796, 20,691.50 and 5,902.96

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Solution

The fourth proportional to 13,796, 20,691.50 and 5,902.96 is: 8,853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796 : 20,691.50 = 5,902.96 : x
  2. Step 2: Convert to fraction form
    13,796/20,691.50 = 5,902.96/x
  3. Step 3: Cross multiply
    13,796x = 20,691.50 × 5,902.96
  4. Step 4: Simplify right side
    13,796x = 122,141,096.84
  5. Step 5: Solve for x
    x = 122,141,096.84/13,796
  6. Step 6: Final answer
    x = 8,853.37

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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.