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Finding the Fourth Proportional to 16,269.94, 22,452.36 and 9,099.77

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Solution

The fourth proportional to 16,269.94, 22,452.36 and 9,099.77 is: 12,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.94 : 22,452.36 = 9,099.77 : x
  2. Step 2: Convert to fraction form
    16,269.94/22,452.36 = 9,099.77/x
  3. Step 3: Cross multiply
    16,269.94x = 22,452.36 × 9,099.77
  4. Step 4: Simplify right side
    16,269.94x = 204,311,311.96
  5. Step 5: Solve for x
    x = 204,311,311.96/16,269.94
  6. Step 6: Final answer
    x = 12,557.59

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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.