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Finding the Fourth Proportional to 18,290.37, 27,440.82 and 7,764.84

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Solution

The fourth proportional to 18,290.37, 27,440.82 and 7,764.84 is: 11,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,290.37 : 27,440.82 = 7,764.84 : x
  2. Step 2: Convert to fraction form
    18,290.37/27,440.82 = 7,764.84/x
  3. Step 3: Cross multiply
    18,290.37x = 27,440.82 × 7,764.84
  4. Step 4: Simplify right side
    18,290.37x = 213,073,576.77
  5. Step 5: Solve for x
    x = 213,073,576.77/18,290.37
  6. Step 6: Final answer
    x = 11,649.50

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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.