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Finding the Fourth Proportional to 14,212.01, 21,321.09 and 5,446.94

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Solution

The fourth proportional to 14,212.01, 21,321.09 and 5,446.94 is: 8,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.01 : 21,321.09 = 5,446.94 : x
  2. Step 2: Convert to fraction form
    14,212.01/21,321.09 = 5,446.94/x
  3. Step 3: Cross multiply
    14,212.01x = 21,321.09 × 5,446.94
  4. Step 4: Simplify right side
    14,212.01x = 116,134,591.36
  5. Step 5: Solve for x
    x = 116,134,591.36/14,212.01
  6. Step 6: Final answer
    x = 8,171.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.