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Finding the Fourth Proportional to 12,646, 18,968.91 and 3,286

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Solution

The fourth proportional to 12,646, 18,968.91 and 3,286 is: 4,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646 : 18,968.91 = 3,286 : x
  2. Step 2: Convert to fraction form
    12,646/18,968.91 = 3,286/x
  3. Step 3: Cross multiply
    12,646x = 18,968.91 × 3,286
  4. Step 4: Simplify right side
    12,646x = 62,331,838.26
  5. Step 5: Solve for x
    x = 62,331,838.26/12,646
  6. Step 6: Final answer
    x = 4,928.98

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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.