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Finding the Fourth Proportional to 16,461.75, 24,692.63 and 4,149.75

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Solution

The fourth proportional to 16,461.75, 24,692.63 and 4,149.75 is: 6,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.75 : 24,692.63 = 4,149.75 : x
  2. Step 2: Convert to fraction form
    16,461.75/24,692.63 = 4,149.75/x
  3. Step 3: Cross multiply
    16,461.75x = 24,692.63 × 4,149.75
  4. Step 4: Simplify right side
    16,461.75x = 102,468,241.34
  5. Step 5: Solve for x
    x = 102,468,241.34/16,461.75
  6. Step 6: Final answer
    x = 6,224.63

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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.