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Finding the Fourth Proportional to 16,216.72, 24,314.82 and 6,851.92

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Solution

The fourth proportional to 16,216.72, 24,314.82 and 6,851.92 is: 10,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.72 : 24,314.82 = 6,851.92 : x
  2. Step 2: Convert to fraction form
    16,216.72/24,314.82 = 6,851.92/x
  3. Step 3: Cross multiply
    16,216.72x = 24,314.82 × 6,851.92
  4. Step 4: Simplify right side
    16,216.72x = 166,603,201.45
  5. Step 5: Solve for x
    x = 166,603,201.45/16,216.72
  6. Step 6: Final answer
    x = 10,273.54

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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.