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Finding the Fourth Proportional to 11,696.05, 16,157.64 and 10,121.41

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Solution

The fourth proportional to 11,696.05, 16,157.64 and 10,121.41 is: 13,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.05 : 16,157.64 = 10,121.41 : x
  2. Step 2: Convert to fraction form
    11,696.05/16,157.64 = 10,121.41/x
  3. Step 3: Cross multiply
    11,696.05x = 16,157.64 × 10,121.41
  4. Step 4: Simplify right side
    11,696.05x = 163,538,099.07
  5. Step 5: Solve for x
    x = 163,538,099.07/11,696.05
  6. Step 6: Final answer
    x = 13,982.34

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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.