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Finding the Fourth Proportional to 12,296.54, 18,449.44 and 7,369.72

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Solution

The fourth proportional to 12,296.54, 18,449.44 and 7,369.72 is: 11,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.54 : 18,449.44 = 7,369.72 : x
  2. Step 2: Convert to fraction form
    12,296.54/18,449.44 = 7,369.72/x
  3. Step 3: Cross multiply
    12,296.54x = 18,449.44 × 7,369.72
  4. Step 4: Simplify right side
    12,296.54x = 135,967,142.41
  5. Step 5: Solve for x
    x = 135,967,142.41/12,296.54
  6. Step 6: Final answer
    x = 11,057.35

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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.