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Finding the Fourth Proportional to 18,427.70, 27,638.72 and 6,738.19

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Solution

The fourth proportional to 18,427.70, 27,638.72 and 6,738.19 is: 10,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427.70 : 27,638.72 = 6,738.19 : x
  2. Step 2: Convert to fraction form
    18,427.70/27,638.72 = 6,738.19/x
  3. Step 3: Cross multiply
    18,427.70x = 27,638.72 × 6,738.19
  4. Step 4: Simplify right side
    18,427.70x = 186,234,869.20
  5. Step 5: Solve for x
    x = 186,234,869.20/18,427.70
  6. Step 6: Final answer
    x = 10,106.24

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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.