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Finding the Fourth Proportional to 16,494.80, 24,745.86 and 8,179.34

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Solution

The fourth proportional to 16,494.80, 24,745.86 and 8,179.34 is: 12,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.80 : 24,745.86 = 8,179.34 : x
  2. Step 2: Convert to fraction form
    16,494.80/24,745.86 = 8,179.34/x
  3. Step 3: Cross multiply
    16,494.80x = 24,745.86 × 8,179.34
  4. Step 4: Simplify right side
    16,494.80x = 202,404,802.53
  5. Step 5: Solve for x
    x = 202,404,802.53/16,494.80
  6. Step 6: Final answer
    x = 12,270.82

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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.