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Finding the Fourth Proportional to 18,583.96, 27,891.30 and 9,223.60

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Solution

The fourth proportional to 18,583.96, 27,891.30 and 9,223.60 is: 13,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.96 : 27,891.30 = 9,223.60 : x
  2. Step 2: Convert to fraction form
    18,583.96/27,891.30 = 9,223.60/x
  3. Step 3: Cross multiply
    18,583.96x = 27,891.30 × 9,223.60
  4. Step 4: Simplify right side
    18,583.96x = 257,258,194.68
  5. Step 5: Solve for x
    x = 257,258,194.68/18,583.96
  6. Step 6: Final answer
    x = 13,843.02

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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.