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Finding the Fourth Proportional to 14,181.18, 19,568.86 and 8,213.20

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Solution

The fourth proportional to 14,181.18, 19,568.86 and 8,213.20 is: 11,333.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.18 : 19,568.86 = 8,213.20 : x
  2. Step 2: Convert to fraction form
    14,181.18/19,568.86 = 8,213.20/x
  3. Step 3: Cross multiply
    14,181.18x = 19,568.86 × 8,213.20
  4. Step 4: Simplify right side
    14,181.18x = 160,722,891.50
  5. Step 5: Solve for x
    x = 160,722,891.50/14,181.18
  6. Step 6: Final answer
    x = 11,333.54

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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.