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Finding the Fourth Proportional to 13,020.75, 17,971.07 and 7,431.75

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Solution

The fourth proportional to 13,020.75, 17,971.07 and 7,431.75 is: 10,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.75 : 17,971.07 = 7,431.75 : x
  2. Step 2: Convert to fraction form
    13,020.75/17,971.07 = 7,431.75/x
  3. Step 3: Cross multiply
    13,020.75x = 17,971.07 × 7,431.75
  4. Step 4: Simplify right side
    13,020.75x = 133,556,462.31
  5. Step 5: Solve for x
    x = 133,556,462.31/13,020.75
  6. Step 6: Final answer
    x = 10,257.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.