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Finding the Fourth Proportional to 14,269.14, 21,404.97 and 3,739.14

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Solution

The fourth proportional to 14,269.14, 21,404.97 and 3,739.14 is: 5,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.14 : 21,404.97 = 3,739.14 : x
  2. Step 2: Convert to fraction form
    14,269.14/21,404.97 = 3,739.14/x
  3. Step 3: Cross multiply
    14,269.14x = 21,404.97 × 3,739.14
  4. Step 4: Simplify right side
    14,269.14x = 80,036,179.53
  5. Step 5: Solve for x
    x = 80,036,179.53/14,269.14
  6. Step 6: Final answer
    x = 5,609.04

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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.