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Finding the Fourth Proportional to 14,383.96, 19,849.62 and 8,096.20

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Solution

The fourth proportional to 14,383.96, 19,849.62 and 8,096.20 is: 11,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.96 : 19,849.62 = 8,096.20 : x
  2. Step 2: Convert to fraction form
    14,383.96/19,849.62 = 8,096.20/x
  3. Step 3: Cross multiply
    14,383.96x = 19,849.62 × 8,096.20
  4. Step 4: Simplify right side
    14,383.96x = 160,706,493.44
  5. Step 5: Solve for x
    x = 160,706,493.44/14,383.96
  6. Step 6: Final answer
    x = 11,172.62

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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.