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Finding the Fourth Proportional to 16,563.04, 24,845.36 and 5,469.49

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Solution

The fourth proportional to 16,563.04, 24,845.36 and 5,469.49 is: 8,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.04 : 24,845.36 = 5,469.49 : x
  2. Step 2: Convert to fraction form
    16,563.04/24,845.36 = 5,469.49/x
  3. Step 3: Cross multiply
    16,563.04x = 24,845.36 × 5,469.49
  4. Step 4: Simplify right side
    16,563.04x = 135,891,448.07
  5. Step 5: Solve for x
    x = 135,891,448.07/16,563.04
  6. Step 6: Final answer
    x = 8,204.50

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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.