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Finding the Fourth Proportional to 23,922.98, 33,029.97 and 14,974.10

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Solution

The fourth proportional to 23,922.98, 33,029.97 and 14,974.10 is: 20,674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.98 : 33,029.97 = 14,974.10 : x
  2. Step 2: Convert to fraction form
    23,922.98/33,029.97 = 14,974.10/x
  3. Step 3: Cross multiply
    23,922.98x = 33,029.97 × 14,974.10
  4. Step 4: Simplify right side
    23,922.98x = 494,594,073.78
  5. Step 5: Solve for x
    x = 494,594,073.78/23,922.98
  6. Step 6: Final answer
    x = 20,674.43

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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.