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Finding the Fourth Proportional to 22,734.56, 31,373.21 and 12,662.97

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Solution

The fourth proportional to 22,734.56, 31,373.21 and 12,662.97 is: 17,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.56 : 31,373.21 = 12,662.97 : x
  2. Step 2: Convert to fraction form
    22,734.56/31,373.21 = 12,662.97/x
  3. Step 3: Cross multiply
    22,734.56x = 31,373.21 × 12,662.97
  4. Step 4: Simplify right side
    22,734.56x = 397,278,017.03
  5. Step 5: Solve for x
    x = 397,278,017.03/22,734.56
  6. Step 6: Final answer
    x = 17,474.63

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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.