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Finding the Fourth Proportional to 16,226.75, 24,340.32 and 5,696.34

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Solution

The fourth proportional to 16,226.75, 24,340.32 and 5,696.34 is: 8,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.75 : 24,340.32 = 5,696.34 : x
  2. Step 2: Convert to fraction form
    16,226.75/24,340.32 = 5,696.34/x
  3. Step 3: Cross multiply
    16,226.75x = 24,340.32 × 5,696.34
  4. Step 4: Simplify right side
    16,226.75x = 138,650,738.43
  5. Step 5: Solve for x
    x = 138,650,738.43/16,226.75
  6. Step 6: Final answer
    x = 8,544.58

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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.