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Finding the Fourth Proportional to 22,806.63, 31,469.31 and 12,734.69

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Solution

The fourth proportional to 22,806.63, 31,469.31 and 12,734.69 is: 17,571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.63 : 31,469.31 = 12,734.69 : x
  2. Step 2: Convert to fraction form
    22,806.63/31,469.31 = 12,734.69/x
  3. Step 3: Cross multiply
    22,806.63x = 31,469.31 × 12,734.69
  4. Step 4: Simplify right side
    22,806.63x = 400,751,750.02
  5. Step 5: Solve for x
    x = 400,751,750.02/22,806.63
  6. Step 6: Final answer
    x = 17,571.72

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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.