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Finding the Fourth Proportional to 16,826.75, 23,221.40 and 9,375.23

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Solution

The fourth proportional to 16,826.75, 23,221.40 and 9,375.23 is: 12,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,826.75 : 23,221.40 = 9,375.23 : x
  2. Step 2: Convert to fraction form
    16,826.75/23,221.40 = 9,375.23/x
  3. Step 3: Cross multiply
    16,826.75x = 23,221.40 × 9,375.23
  4. Step 4: Simplify right side
    16,826.75x = 217,705,965.92
  5. Step 5: Solve for x
    x = 217,705,965.92/16,826.75
  6. Step 6: Final answer
    x = 12,938.09

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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.