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Finding the Fourth Proportional to 16,212.56, 24,322.92 and 5,118.80

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Solution

The fourth proportional to 16,212.56, 24,322.92 and 5,118.80 is: 7,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.56 : 24,322.92 = 5,118.80 : x
  2. Step 2: Convert to fraction form
    16,212.56/24,322.92 = 5,118.80/x
  3. Step 3: Cross multiply
    16,212.56x = 24,322.92 × 5,118.80
  4. Step 4: Simplify right side
    16,212.56x = 124,504,162.90
  5. Step 5: Solve for x
    x = 124,504,162.90/16,212.56
  6. Step 6: Final answer
    x = 7,679.49

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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.