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Finding the Fourth Proportional to 14,229.74, 19,635.23 and 7,942.38

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Solution

The fourth proportional to 14,229.74, 19,635.23 and 7,942.38 is: 10,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.74 : 19,635.23 = 7,942.38 : x
  2. Step 2: Convert to fraction form
    14,229.74/19,635.23 = 7,942.38/x
  3. Step 3: Cross multiply
    14,229.74x = 19,635.23 × 7,942.38
  4. Step 4: Simplify right side
    14,229.74x = 155,950,458.05
  5. Step 5: Solve for x
    x = 155,950,458.05/14,229.74
  6. Step 6: Final answer
    x = 10,959.47

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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.