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Finding the Fourth Proportional to 13,181.62, 19,761.24 and 5,780.46

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Solution

The fourth proportional to 13,181.62, 19,761.24 and 5,780.46 is: 8,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.62 : 19,761.24 = 5,780.46 : x
  2. Step 2: Convert to fraction form
    13,181.62/19,761.24 = 5,780.46/x
  3. Step 3: Cross multiply
    13,181.62x = 19,761.24 × 5,780.46
  4. Step 4: Simplify right side
    13,181.62x = 114,229,057.37
  5. Step 5: Solve for x
    x = 114,229,057.37/13,181.62
  6. Step 6: Final answer
    x = 8,665.78

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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.