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Finding the Fourth Proportional to 22,469.33, 31,009.10 and 12,912.28

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Solution

The fourth proportional to 22,469.33, 31,009.10 and 12,912.28 is: 17,819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.33 : 31,009.10 = 12,912.28 : x
  2. Step 2: Convert to fraction form
    22,469.33/31,009.10 = 12,912.28/x
  3. Step 3: Cross multiply
    22,469.33x = 31,009.10 × 12,912.28
  4. Step 4: Simplify right side
    22,469.33x = 400,398,039.66
  5. Step 5: Solve for x
    x = 400,398,039.66/22,469.33
  6. Step 6: Final answer
    x = 17,819.76

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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.