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Finding the Fourth Proportional to 14,231.22, 19,638.37 and 7,942.38

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Solution

The fourth proportional to 14,231.22, 19,638.37 and 7,942.38 is: 10,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.22 : 19,638.37 = 7,942.38 : x
  2. Step 2: Convert to fraction form
    14,231.22/19,638.37 = 7,942.38/x
  3. Step 3: Cross multiply
    14,231.22x = 19,638.37 × 7,942.38
  4. Step 4: Simplify right side
    14,231.22x = 155,975,288.73
  5. Step 5: Solve for x
    x = 155,975,288.73/14,231.22
  6. Step 6: Final answer
    x = 10,960.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.