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Finding the Fourth Proportional to 16,810.54, 25,232.31 and 12,824.73

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Solution

The fourth proportional to 16,810.54, 25,232.31 and 12,824.73 is: 19,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.54 : 25,232.31 = 12,824.73 : x
  2. Step 2: Convert to fraction form
    16,810.54/25,232.31 = 12,824.73/x
  3. Step 3: Cross multiply
    16,810.54x = 25,232.31 × 12,824.73
  4. Step 4: Simplify right side
    16,810.54x = 323,597,563.03
  5. Step 5: Solve for x
    x = 323,597,563.03/16,810.54
  6. Step 6: Final answer
    x = 19,249.69

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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.