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Finding the Fourth Proportional to 19,923.92, 29,882.91 and 7,442.38

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Solution

The fourth proportional to 19,923.92, 29,882.91 and 7,442.38 is: 11,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.92 : 29,882.91 = 7,442.38 : x
  2. Step 2: Convert to fraction form
    19,923.92/29,882.91 = 7,442.38/x
  3. Step 3: Cross multiply
    19,923.92x = 29,882.91 × 7,442.38
  4. Step 4: Simplify right side
    19,923.92x = 222,399,971.73
  5. Step 5: Solve for x
    x = 222,399,971.73/19,923.92
  6. Step 6: Final answer
    x = 11,162.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.