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Finding the Fourth Proportional to 16,494, 24,742.44 and 4,182

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Solution

The fourth proportional to 16,494, 24,742.44 and 4,182 is: 6,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 24,742.44 = 4,182 : x
  2. Step 2: Convert to fraction form
    16,494/24,742.44 = 4,182/x
  3. Step 3: Cross multiply
    16,494x = 24,742.44 × 4,182
  4. Step 4: Simplify right side
    16,494x = 103,472,884.08
  5. Step 5: Solve for x
    x = 103,472,884.08/16,494
  6. Step 6: Final answer
    x = 6,273.37

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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.