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Finding the Fourth Proportional to 16,006.72, 22,069.28 and 12,234.56

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Solution

The fourth proportional to 16,006.72, 22,069.28 and 12,234.56 is: 16,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.72 : 22,069.28 = 12,234.56 : x
  2. Step 2: Convert to fraction form
    16,006.72/22,069.28 = 12,234.56/x
  3. Step 3: Cross multiply
    16,006.72x = 22,069.28 × 12,234.56
  4. Step 4: Simplify right side
    16,006.72x = 270,007,930.32
  5. Step 5: Solve for x
    x = 270,007,930.32/16,006.72
  6. Step 6: Final answer
    x = 16,868.41

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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.