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Finding the Fourth Proportional to 11,580.36, 17,351.10 and 9,267

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Solution

The fourth proportional to 11,580.36, 17,351.10 and 9,267 is: 13,884.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.36 : 17,351.10 = 9,267 : x
  2. Step 2: Convert to fraction form
    11,580.36/17,351.10 = 9,267/x
  3. Step 3: Cross multiply
    11,580.36x = 17,351.10 × 9,267
  4. Step 4: Simplify right side
    11,580.36x = 160,792,643.70
  5. Step 5: Solve for x
    x = 160,792,643.70/11,580.36
  6. Step 6: Final answer
    x = 13,884.94

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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.