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Finding the Fourth Proportional to 17,974.80, 26,951.40 and 9,226.80

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Solution

The fourth proportional to 17,974.80, 26,951.40 and 9,226.80 is: 13,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974.80 : 26,951.40 = 9,226.80 : x
  2. Step 2: Convert to fraction form
    17,974.80/26,951.40 = 9,226.80/x
  3. Step 3: Cross multiply
    17,974.80x = 26,951.40 × 9,226.80
  4. Step 4: Simplify right side
    17,974.80x = 248,675,177.52
  5. Step 5: Solve for x
    x = 248,675,177.52/17,974.80
  6. Step 6: Final answer
    x = 13,834.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.