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Finding the Fourth Proportional to 22,906.70, 31,611.60 and 13,954.58

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Solution

The fourth proportional to 22,906.70, 31,611.60 and 13,954.58 is: 19,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.70 : 31,611.60 = 13,954.58 : x
  2. Step 2: Convert to fraction form
    22,906.70/31,611.60 = 13,954.58/x
  3. Step 3: Cross multiply
    22,906.70x = 31,611.60 × 13,954.58
  4. Step 4: Simplify right side
    22,906.70x = 441,126,601.13
  5. Step 5: Solve for x
    x = 441,126,601.13/22,906.70
  6. Step 6: Final answer
    x = 19,257.54

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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.