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Finding the Fourth Proportional to 13,181.92, 19,776.03 and 4,297.21

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Solution

The fourth proportional to 13,181.92, 19,776.03 and 4,297.21 is: 6,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.92 : 19,776.03 = 4,297.21 : x
  2. Step 2: Convert to fraction form
    13,181.92/19,776.03 = 4,297.21/x
  3. Step 3: Cross multiply
    13,181.92x = 19,776.03 × 4,297.21
  4. Step 4: Simplify right side
    13,181.92x = 84,981,753.88
  5. Step 5: Solve for x
    x = 84,981,753.88/13,181.92
  6. Step 6: Final answer
    x = 6,446.84

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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.