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Finding the Fourth Proportional to 18,366.22, 27,538.38 and 7,274.50

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Solution

The fourth proportional to 18,366.22, 27,538.38 and 7,274.50 is: 10,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,366.22 : 27,538.38 = 7,274.50 : x
  2. Step 2: Convert to fraction form
    18,366.22/27,538.38 = 7,274.50/x
  3. Step 3: Cross multiply
    18,366.22x = 27,538.38 × 7,274.50
  4. Step 4: Simplify right side
    18,366.22x = 200,327,945.31
  5. Step 5: Solve for x
    x = 200,327,945.31/18,366.22
  6. Step 6: Final answer
    x = 10,907.41

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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.