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Finding the Fourth Proportional to 17,161.44, 25,742.40 and 4,849.44

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Solution

The fourth proportional to 17,161.44, 25,742.40 and 4,849.44 is: 7,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,161.44 : 25,742.40 = 4,849.44 : x
  2. Step 2: Convert to fraction form
    17,161.44/25,742.40 = 4,849.44/x
  3. Step 3: Cross multiply
    17,161.44x = 25,742.40 × 4,849.44
  4. Step 4: Simplify right side
    17,161.44x = 124,836,224.26
  5. Step 5: Solve for x
    x = 124,836,224.26/17,161.44
  6. Step 6: Final answer
    x = 7,274.23

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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.