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Finding the Fourth Proportional to 16,738.50, 25,093.44 and 6,871.62

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Solution

The fourth proportional to 16,738.50, 25,093.44 and 6,871.62 is: 10,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.50 : 25,093.44 = 6,871.62 : x
  2. Step 2: Convert to fraction form
    16,738.50/25,093.44 = 6,871.62/x
  3. Step 3: Cross multiply
    16,738.50x = 25,093.44 × 6,871.62
  4. Step 4: Simplify right side
    16,738.50x = 172,432,584.17
  5. Step 5: Solve for x
    x = 172,432,584.17/16,738.50
  6. Step 6: Final answer
    x = 10,301.56

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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.