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Finding the Fourth Proportional to 16,034.94, 22,128.69 and 8,961.38

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Solution

The fourth proportional to 16,034.94, 22,128.69 and 8,961.38 is: 12,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034.94 : 22,128.69 = 8,961.38 : x
  2. Step 2: Convert to fraction form
    16,034.94/22,128.69 = 8,961.38/x
  3. Step 3: Cross multiply
    16,034.94x = 22,128.69 × 8,961.38
  4. Step 4: Simplify right side
    16,034.94x = 198,303,599.99
  5. Step 5: Solve for x
    x = 198,303,599.99/16,034.94
  6. Step 6: Final answer
    x = 12,366.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.