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Finding the Fourth Proportional to 16,305.56, 22,511.22 and 11,825

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Solution

The fourth proportional to 16,305.56, 22,511.22 and 11,825 is: 16,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.56 : 22,511.22 = 11,825 : x
  2. Step 2: Convert to fraction form
    16,305.56/22,511.22 = 11,825/x
  3. Step 3: Cross multiply
    16,305.56x = 22,511.22 × 11,825
  4. Step 4: Simplify right side
    16,305.56x = 266,195,176.50
  5. Step 5: Solve for x
    x = 266,195,176.50/16,305.56
  6. Step 6: Final answer
    x = 16,325.42

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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.