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Finding the Fourth Proportional to 16,096, 24,142.92 and 4,409.32

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Solution

The fourth proportional to 16,096, 24,142.92 and 4,409.32 is: 6,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096 : 24,142.92 = 4,409.32 : x
  2. Step 2: Convert to fraction form
    16,096/24,142.92 = 4,409.32/x
  3. Step 3: Cross multiply
    16,096x = 24,142.92 × 4,409.32
  4. Step 4: Simplify right side
    16,096x = 106,453,860.01
  5. Step 5: Solve for x
    x = 106,453,860.01/16,096
  6. Step 6: Final answer
    x = 6,613.68

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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.