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Finding the Fourth Proportional to 12,495.49, 18,749.34 and 5,474.54

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Solution

The fourth proportional to 12,495.49, 18,749.34 and 5,474.54 is: 8,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.49 : 18,749.34 = 5,474.54 : x
  2. Step 2: Convert to fraction form
    12,495.49/18,749.34 = 5,474.54/x
  3. Step 3: Cross multiply
    12,495.49x = 18,749.34 × 5,474.54
  4. Step 4: Simplify right side
    12,495.49x = 102,644,011.80
  5. Step 5: Solve for x
    x = 102,644,011.80/12,495.49
  6. Step 6: Final answer
    x = 8,214.48

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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.