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Finding the Fourth Proportional to 12,049.49, 18,074.14 and 3,284.42

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Solution

The fourth proportional to 12,049.49, 18,074.14 and 3,284.42 is: 4,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.49 : 18,074.14 = 3,284.42 : x
  2. Step 2: Convert to fraction form
    12,049.49/18,074.14 = 3,284.42/x
  3. Step 3: Cross multiply
    12,049.49x = 18,074.14 × 3,284.42
  4. Step 4: Simplify right side
    12,049.49x = 59,362,968.32
  5. Step 5: Solve for x
    x = 59,362,968.32/12,049.49
  6. Step 6: Final answer
    x = 4,926.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.