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Finding the Fourth Proportional to 13,911.76, 19,204.87 and 7,942.27

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Solution

The fourth proportional to 13,911.76, 19,204.87 and 7,942.27 is: 10,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.76 : 19,204.87 = 7,942.27 : x
  2. Step 2: Convert to fraction form
    13,911.76/19,204.87 = 7,942.27/x
  3. Step 3: Cross multiply
    13,911.76x = 19,204.87 × 7,942.27
  4. Step 4: Simplify right side
    13,911.76x = 152,530,262.85
  5. Step 5: Solve for x
    x = 152,530,262.85/13,911.76
  6. Step 6: Final answer
    x = 10,964.13

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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.