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Finding the Fourth Proportional to 23,986.84, 33,072.42 and 19,723

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Solution

The fourth proportional to 23,986.84, 33,072.42 and 19,723 is: 27,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.84 : 33,072.42 = 19,723 : x
  2. Step 2: Convert to fraction form
    23,986.84/33,072.42 = 19,723/x
  3. Step 3: Cross multiply
    23,986.84x = 33,072.42 × 19,723
  4. Step 4: Simplify right side
    23,986.84x = 652,287,339.66
  5. Step 5: Solve for x
    x = 652,287,339.66/23,986.84
  6. Step 6: Final answer
    x = 27,193.55

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