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Finding the Fourth Proportional to 17,561.75, 26,342.64 and 7,173.50

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Solution

The fourth proportional to 17,561.75, 26,342.64 and 7,173.50 is: 10,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.75 : 26,342.64 = 7,173.50 : x
  2. Step 2: Convert to fraction form
    17,561.75/26,342.64 = 7,173.50/x
  3. Step 3: Cross multiply
    17,561.75x = 26,342.64 × 7,173.50
  4. Step 4: Simplify right side
    17,561.75x = 188,968,796.33
  5. Step 5: Solve for x
    x = 188,968,796.33/17,561.75
  6. Step 6: Final answer
    x = 10,760.25

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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.