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Finding the Fourth Proportional to 12,638, 18,968.28 and 6,638.96

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Solution

The fourth proportional to 12,638, 18,968.28 and 6,638.96 is: 9,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638 : 18,968.28 = 6,638.96 : x
  2. Step 2: Convert to fraction form
    12,638/18,968.28 = 6,638.96/x
  3. Step 3: Cross multiply
    12,638x = 18,968.28 × 6,638.96
  4. Step 4: Simplify right side
    12,638x = 125,929,652.19
  5. Step 5: Solve for x
    x = 125,929,652.19/12,638
  6. Step 6: Final answer
    x = 9,964.37

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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.