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Finding the Fourth Proportional to 11,344.36, 17,020.14 and 6,147.40

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Solution

The fourth proportional to 11,344.36, 17,020.14 and 6,147.40 is: 9,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.36 : 17,020.14 = 6,147.40 : x
  2. Step 2: Convert to fraction form
    11,344.36/17,020.14 = 6,147.40/x
  3. Step 3: Cross multiply
    11,344.36x = 17,020.14 × 6,147.40
  4. Step 4: Simplify right side
    11,344.36x = 104,629,608.64
  5. Step 5: Solve for x
    x = 104,629,608.64/11,344.36
  6. Step 6: Final answer
    x = 9,223.05

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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.