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Finding the Fourth Proportional to 16,093.91, 24,132.96 and 6,731.12

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Solution

The fourth proportional to 16,093.91, 24,132.96 and 6,731.12 is: 10,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.91 : 24,132.96 = 6,731.12 : x
  2. Step 2: Convert to fraction form
    16,093.91/24,132.96 = 6,731.12/x
  3. Step 3: Cross multiply
    16,093.91x = 24,132.96 × 6,731.12
  4. Step 4: Simplify right side
    16,093.91x = 162,441,729.05
  5. Step 5: Solve for x
    x = 162,441,729.05/16,093.91
  6. Step 6: Final answer
    x = 10,093.37

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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.