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Finding the Fourth Proportional to 16,205.08, 22,362.88 and 9,133.78

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Solution

The fourth proportional to 16,205.08, 22,362.88 and 9,133.78 is: 12,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.08 : 22,362.88 = 9,133.78 : x
  2. Step 2: Convert to fraction form
    16,205.08/22,362.88 = 9,133.78/x
  3. Step 3: Cross multiply
    16,205.08x = 22,362.88 × 9,133.78
  4. Step 4: Simplify right side
    16,205.08x = 204,257,626.09
  5. Step 5: Solve for x
    x = 204,257,626.09/16,205.08
  6. Step 6: Final answer
    x = 12,604.54

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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.