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Finding the Fourth Proportional to 14,638.25, 21,958.49 and 5,749.30

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Solution

The fourth proportional to 14,638.25, 21,958.49 and 5,749.30 is: 8,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.25 : 21,958.49 = 5,749.30 : x
  2. Step 2: Convert to fraction form
    14,638.25/21,958.49 = 5,749.30/x
  3. Step 3: Cross multiply
    14,638.25x = 21,958.49 × 5,749.30
  4. Step 4: Simplify right side
    14,638.25x = 126,245,946.56
  5. Step 5: Solve for x
    x = 126,245,946.56/14,638.25
  6. Step 6: Final answer
    x = 8,624.39

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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.