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Finding the Fourth Proportional to 22,912, 31,618.56 and 12,976

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Solution

The fourth proportional to 22,912, 31,618.56 and 12,976 is: 17,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912 : 31,618.56 = 12,976 : x
  2. Step 2: Convert to fraction form
    22,912/31,618.56 = 12,976/x
  3. Step 3: Cross multiply
    22,912x = 31,618.56 × 12,976
  4. Step 4: Simplify right side
    22,912x = 410,282,434.56
  5. Step 5: Solve for x
    x = 410,282,434.56/22,912
  6. Step 6: Final answer
    x = 17,906.88

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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.