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Finding the Fourth Proportional to 13,942.71, 20,813.78 and 11,946.85

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Solution

The fourth proportional to 13,942.71, 20,813.78 and 11,946.85 is: 17,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.71 : 20,813.78 = 11,946.85 : x
  2. Step 2: Convert to fraction form
    13,942.71/20,813.78 = 11,946.85/x
  3. Step 3: Cross multiply
    13,942.71x = 20,813.78 × 11,946.85
  4. Step 4: Simplify right side
    13,942.71x = 248,658,995.82
  5. Step 5: Solve for x
    x = 248,658,995.82/13,942.71
  6. Step 6: Final answer
    x = 17,834.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.