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Finding the Fourth Proportional to 19,796.84, 29,653.94 and 11,874.23

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Solution

The fourth proportional to 19,796.84, 29,653.94 and 11,874.23 is: 17,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.84 : 29,653.94 = 11,874.23 : x
  2. Step 2: Convert to fraction form
    19,796.84/29,653.94 = 11,874.23/x
  3. Step 3: Cross multiply
    19,796.84x = 29,653.94 × 11,874.23
  4. Step 4: Simplify right side
    19,796.84x = 352,117,703.97
  5. Step 5: Solve for x
    x = 352,117,703.97/19,796.84
  6. Step 6: Final answer
    x = 17,786.56

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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.