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Finding the Fourth Proportional to 17,744, 26,622.14 and 6,065.44

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Solution

The fourth proportional to 17,744, 26,622.14 and 6,065.44 is: 9,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744 : 26,622.14 = 6,065.44 : x
  2. Step 2: Convert to fraction form
    17,744/26,622.14 = 6,065.44/x
  3. Step 3: Cross multiply
    17,744x = 26,622.14 × 6,065.44
  4. Step 4: Simplify right side
    17,744x = 161,474,992.84
  5. Step 5: Solve for x
    x = 161,474,992.84/17,744
  6. Step 6: Final answer
    x = 9,100.26

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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.