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Finding the Fourth Proportional to 13,910.57, 19,196.90 and 7,942.12

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Solution

The fourth proportional to 13,910.57, 19,196.90 and 7,942.12 is: 10,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.57 : 19,196.90 = 7,942.12 : x
  2. Step 2: Convert to fraction form
    13,910.57/19,196.90 = 7,942.12/x
  3. Step 3: Cross multiply
    13,910.57x = 19,196.90 × 7,942.12
  4. Step 4: Simplify right side
    13,910.57x = 152,464,083.43
  5. Step 5: Solve for x
    x = 152,464,083.43/13,910.57
  6. Step 6: Final answer
    x = 10,960.30

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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.