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Finding the Fourth Proportional to 16,182.09, 24,278.94 and 6,328.44

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Solution

The fourth proportional to 16,182.09, 24,278.94 and 6,328.44 is: 9,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.09 : 24,278.94 = 6,328.44 : x
  2. Step 2: Convert to fraction form
    16,182.09/24,278.94 = 6,328.44/x
  3. Step 3: Cross multiply
    16,182.09x = 24,278.94 × 6,328.44
  4. Step 4: Simplify right side
    16,182.09x = 153,647,815.05
  5. Step 5: Solve for x
    x = 153,647,815.05/16,182.09
  6. Step 6: Final answer
    x = 9,494.93

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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.