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Finding the Fourth Proportional to 14,182, 21,273 and 3,793.52

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Solution

The fourth proportional to 14,182, 21,273 and 3,793.52 is: 5,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182 : 21,273 = 3,793.52 : x
  2. Step 2: Convert to fraction form
    14,182/21,273 = 3,793.52/x
  3. Step 3: Cross multiply
    14,182x = 21,273 × 3,793.52
  4. Step 4: Simplify right side
    14,182x = 80,699,550.96
  5. Step 5: Solve for x
    x = 80,699,550.96/14,182
  6. Step 6: Final answer
    x = 5,690.28

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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.