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Finding the Fourth Proportional to 17,867.78, 24,659.03 and 9,912.56

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Solution

The fourth proportional to 17,867.78, 24,659.03 and 9,912.56 is: 13,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.78 : 24,659.03 = 9,912.56 : x
  2. Step 2: Convert to fraction form
    17,867.78/24,659.03 = 9,912.56/x
  3. Step 3: Cross multiply
    17,867.78x = 24,659.03 × 9,912.56
  4. Step 4: Simplify right side
    17,867.78x = 244,434,200.85
  5. Step 5: Solve for x
    x = 244,434,200.85/17,867.78
  6. Step 6: Final answer
    x = 13,680.17

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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.