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Finding the Fourth Proportional to 19,998.82, 29,998.23 and 7,678.18

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Solution

The fourth proportional to 19,998.82, 29,998.23 and 7,678.18 is: 11,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,998.82 : 29,998.23 = 7,678.18 : x
  2. Step 2: Convert to fraction form
    19,998.82/29,998.23 = 7,678.18/x
  3. Step 3: Cross multiply
    19,998.82x = 29,998.23 × 7,678.18
  4. Step 4: Simplify right side
    19,998.82x = 230,331,809.62
  5. Step 5: Solve for x
    x = 230,331,809.62/19,998.82
  6. Step 6: Final answer
    x = 11,517.27

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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.