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Finding the Fourth Proportional to 22,029.44, 30,391.80 and 12,596

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Solution

The fourth proportional to 22,029.44, 30,391.80 and 12,596 is: 17,377.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,029.44 : 30,391.80 = 12,596 : x
  2. Step 2: Convert to fraction form
    22,029.44/30,391.80 = 12,596/x
  3. Step 3: Cross multiply
    22,029.44x = 30,391.80 × 12,596
  4. Step 4: Simplify right side
    22,029.44x = 382,815,112.80
  5. Step 5: Solve for x
    x = 382,815,112.80/22,029.44
  6. Step 6: Final answer
    x = 17,377.43

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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.