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Finding the Fourth Proportional to 29,216.46, 43,793.10 and 11,667

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Solution

The fourth proportional to 29,216.46, 43,793.10 and 11,667 is: 17,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216.46 : 43,793.10 = 11,667 : x
  2. Step 2: Convert to fraction form
    29,216.46/43,793.10 = 11,667/x
  3. Step 3: Cross multiply
    29,216.46x = 43,793.10 × 11,667
  4. Step 4: Simplify right side
    29,216.46x = 510,934,039.37
  5. Step 5: Solve for x
    x = 510,934,039.37/29,216.46
  6. Step 6: Final answer
    x = 17,487.88

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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.