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Finding the Fourth Proportional to 18,186.22, 27,289.56 and 7,093.68

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Solution

The fourth proportional to 18,186.22, 27,289.56 and 7,093.68 is: 10,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.22 : 27,289.56 = 7,093.68 : x
  2. Step 2: Convert to fraction form
    18,186.22/27,289.56 = 7,093.68/x
  3. Step 3: Cross multiply
    18,186.22x = 27,289.56 × 7,093.68
  4. Step 4: Simplify right side
    18,186.22x = 193,583,290.34
  5. Step 5: Solve for x
    x = 193,583,290.34/18,186.22
  6. Step 6: Final answer
    x = 10,644.50

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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.