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Finding the Fourth Proportional to 21,338.56, 32,005.44 and 8,181.70

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Solution

The fourth proportional to 21,338.56, 32,005.44 and 8,181.70 is: 12,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.56 : 32,005.44 = 8,181.70 : x
  2. Step 2: Convert to fraction form
    21,338.56/32,005.44 = 8,181.70/x
  3. Step 3: Cross multiply
    21,338.56x = 32,005.44 × 8,181.70
  4. Step 4: Simplify right side
    21,338.56x = 261,858,828.43
  5. Step 5: Solve for x
    x = 261,858,828.43/21,338.56
  6. Step 6: Final answer
    x = 12,271.63

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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.