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Finding the Fourth Proportional to 11,725.96, 17,579.10 and 8,019.16

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Solution

The fourth proportional to 11,725.96, 17,579.10 and 8,019.16 is: 12,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.96 : 17,579.10 = 8,019.16 : x
  2. Step 2: Convert to fraction form
    11,725.96/17,579.10 = 8,019.16/x
  3. Step 3: Cross multiply
    11,725.96x = 17,579.10 × 8,019.16
  4. Step 4: Simplify right side
    11,725.96x = 140,969,615.56
  5. Step 5: Solve for x
    x = 140,969,615.56/11,725.96
  6. Step 6: Final answer
    x = 12,022.01

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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.