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Finding the Fourth Proportional to 17,441.75, 26,147.14 and 6,346.37

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Solution

The fourth proportional to 17,441.75, 26,147.14 and 6,346.37 is: 9,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.75 : 26,147.14 = 6,346.37 : x
  2. Step 2: Convert to fraction form
    17,441.75/26,147.14 = 6,346.37/x
  3. Step 3: Cross multiply
    17,441.75x = 26,147.14 × 6,346.37
  4. Step 4: Simplify right side
    17,441.75x = 165,939,474.38
  5. Step 5: Solve for x
    x = 165,939,474.38/17,441.75
  6. Step 6: Final answer
    x = 9,513.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.