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Finding the Fourth Proportional to 12,638.35, 18,956.76 and 3,873.25

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Solution

The fourth proportional to 12,638.35, 18,956.76 and 3,873.25 is: 5,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.35 : 18,956.76 = 3,873.25 : x
  2. Step 2: Convert to fraction form
    12,638.35/18,956.76 = 3,873.25/x
  3. Step 3: Cross multiply
    12,638.35x = 18,956.76 × 3,873.25
  4. Step 4: Simplify right side
    12,638.35x = 73,424,270.67
  5. Step 5: Solve for x
    x = 73,424,270.67/12,638.35
  6. Step 6: Final answer
    x = 5,809.64

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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.