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Finding the Fourth Proportional to 16,394.68, 24,584.34 and 5,443

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Solution

The fourth proportional to 16,394.68, 24,584.34 and 5,443 is: 8,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.68 : 24,584.34 = 5,443 : x
  2. Step 2: Convert to fraction form
    16,394.68/24,584.34 = 5,443/x
  3. Step 3: Cross multiply
    16,394.68x = 24,584.34 × 5,443
  4. Step 4: Simplify right side
    16,394.68x = 133,812,562.62
  5. Step 5: Solve for x
    x = 133,812,562.62/16,394.68
  6. Step 6: Final answer
    x = 8,161.95

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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.