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Finding the Fourth Proportional to 16,434.68, 24,662.94 and 6,046.42

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Solution

The fourth proportional to 16,434.68, 24,662.94 and 6,046.42 is: 9,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.68 : 24,662.94 = 6,046.42 : x
  2. Step 2: Convert to fraction form
    16,434.68/24,662.94 = 6,046.42/x
  3. Step 3: Cross multiply
    16,434.68x = 24,662.94 × 6,046.42
  4. Step 4: Simplify right side
    16,434.68x = 149,122,493.67
  5. Step 5: Solve for x
    x = 149,122,493.67/16,434.68
  6. Step 6: Final answer
    x = 9,073.65

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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.