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Finding the Fourth Proportional to 22,012.72, 30,377.28 and 11,941

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Solution

The fourth proportional to 22,012.72, 30,377.28 and 11,941 is: 16,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.72 : 30,377.28 = 11,941 : x
  2. Step 2: Convert to fraction form
    22,012.72/30,377.28 = 11,941/x
  3. Step 3: Cross multiply
    22,012.72x = 30,377.28 × 11,941
  4. Step 4: Simplify right side
    22,012.72x = 362,735,100.48
  5. Step 5: Solve for x
    x = 362,735,100.48/22,012.72
  6. Step 6: Final answer
    x = 16,478.43

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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.