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Finding the Fourth Proportional to 12,185.14, 18,278.36 and 3,865.82

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Solution

The fourth proportional to 12,185.14, 18,278.36 and 3,865.82 is: 5,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.14 : 18,278.36 = 3,865.82 : x
  2. Step 2: Convert to fraction form
    12,185.14/18,278.36 = 3,865.82/x
  3. Step 3: Cross multiply
    12,185.14x = 18,278.36 × 3,865.82
  4. Step 4: Simplify right side
    12,185.14x = 70,660,872.50
  5. Step 5: Solve for x
    x = 70,660,872.50/12,185.14
  6. Step 6: Final answer
    x = 5,798.94

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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.