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Finding the Fourth Proportional to 16,493.32, 24,744.30 and 8,173

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Solution

The fourth proportional to 16,493.32, 24,744.30 and 8,173 is: 12,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.32 : 24,744.30 = 8,173 : x
  2. Step 2: Convert to fraction form
    16,493.32/24,744.30 = 8,173/x
  3. Step 3: Cross multiply
    16,493.32x = 24,744.30 × 8,173
  4. Step 4: Simplify right side
    16,493.32x = 202,235,163.90
  5. Step 5: Solve for x
    x = 202,235,163.90/16,493.32
  6. Step 6: Final answer
    x = 12,261.64

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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.