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Finding the Fourth Proportional to 12,181.26, 18,271.63 and 3,415.95

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Solution

The fourth proportional to 12,181.26, 18,271.63 and 3,415.95 is: 5,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.26 : 18,271.63 = 3,415.95 : x
  2. Step 2: Convert to fraction form
    12,181.26/18,271.63 = 3,415.95/x
  3. Step 3: Cross multiply
    12,181.26x = 18,271.63 × 3,415.95
  4. Step 4: Simplify right side
    12,181.26x = 62,414,974.50
  5. Step 5: Solve for x
    x = 62,414,974.50/12,181.26
  6. Step 6: Final answer
    x = 5,123.85

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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.