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Finding the Fourth Proportional to 16,196.94, 22,351.32 and 9,123.21

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Solution

The fourth proportional to 16,196.94, 22,351.32 and 9,123.21 is: 12,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.94 : 22,351.32 = 9,123.21 : x
  2. Step 2: Convert to fraction form
    16,196.94/22,351.32 = 9,123.21/x
  3. Step 3: Cross multiply
    16,196.94x = 22,351.32 × 9,123.21
  4. Step 4: Simplify right side
    16,196.94x = 203,915,786.14
  5. Step 5: Solve for x
    x = 203,915,786.14/16,196.94
  6. Step 6: Final answer
    x = 12,589.77

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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.