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Finding the Fourth Proportional to 16,441.53, 24,662.53 and 5,348.28

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Solution

The fourth proportional to 16,441.53, 24,662.53 and 5,348.28 is: 8,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.53 : 24,662.53 = 5,348.28 : x
  2. Step 2: Convert to fraction form
    16,441.53/24,662.53 = 5,348.28/x
  3. Step 3: Cross multiply
    16,441.53x = 24,662.53 × 5,348.28
  4. Step 4: Simplify right side
    16,441.53x = 131,902,046.31
  5. Step 5: Solve for x
    x = 131,902,046.31/16,441.53
  6. Step 6: Final answer
    x = 8,022.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.