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Finding the Fourth Proportional to 16,551, 24,810.03 and 7,770.33

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Solution

The fourth proportional to 16,551, 24,810.03 and 7,770.33 is: 11,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551 : 24,810.03 = 7,770.33 : x
  2. Step 2: Convert to fraction form
    16,551/24,810.03 = 7,770.33/x
  3. Step 3: Cross multiply
    16,551x = 24,810.03 × 7,770.33
  4. Step 4: Simplify right side
    16,551x = 192,782,120.41
  5. Step 5: Solve for x
    x = 192,782,120.41/16,551
  6. Step 6: Final answer
    x = 11,647.76

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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.