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Finding the Fourth Proportional to 14,469.45, 19,967.22 and 8,096.64

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Solution

The fourth proportional to 14,469.45, 19,967.22 and 8,096.64 is: 11,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.45 : 19,967.22 = 8,096.64 : x
  2. Step 2: Convert to fraction form
    14,469.45/19,967.22 = 8,096.64/x
  3. Step 3: Cross multiply
    14,469.45x = 19,967.22 × 8,096.64
  4. Step 4: Simplify right side
    14,469.45x = 161,667,392.14
  5. Step 5: Solve for x
    x = 161,667,392.14/14,469.45
  6. Step 6: Final answer
    x = 11,173.02

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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.