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Finding the Fourth Proportional to 16,213.44, 22,329.81 and 13,974.49

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Solution

The fourth proportional to 16,213.44, 22,329.81 and 13,974.49 is: 19,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.44 : 22,329.81 = 13,974.49 : x
  2. Step 2: Convert to fraction form
    16,213.44/22,329.81 = 13,974.49/x
  3. Step 3: Cross multiply
    16,213.44x = 22,329.81 × 13,974.49
  4. Step 4: Simplify right side
    16,213.44x = 312,047,706.55
  5. Step 5: Solve for x
    x = 312,047,706.55/16,213.44
  6. Step 6: Final answer
    x = 19,246.24

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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.