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Finding the Fourth Proportional to 17,704.50, 26,556.75 and 7,316.52

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Solution

The fourth proportional to 17,704.50, 26,556.75 and 7,316.52 is: 10,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.50 : 26,556.75 = 7,316.52 : x
  2. Step 2: Convert to fraction form
    17,704.50/26,556.75 = 7,316.52/x
  3. Step 3: Cross multiply
    17,704.50x = 26,556.75 × 7,316.52
  4. Step 4: Simplify right side
    17,704.50x = 194,302,992.51
  5. Step 5: Solve for x
    x = 194,302,992.51/17,704.50
  6. Step 6: Final answer
    x = 10,974.78

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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.