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Finding the Fourth Proportional to 22,556.26, 33,839.25 and 9,409.96

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Solution

The fourth proportional to 22,556.26, 33,839.25 and 9,409.96 is: 14,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.26 : 33,839.25 = 9,409.96 : x
  2. Step 2: Convert to fraction form
    22,556.26/33,839.25 = 9,409.96/x
  3. Step 3: Cross multiply
    22,556.26x = 33,839.25 × 9,409.96
  4. Step 4: Simplify right side
    22,556.26x = 318,425,988.93
  5. Step 5: Solve for x
    x = 318,425,988.93/22,556.26
  6. Step 6: Final answer
    x = 14,116.97

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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.