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Finding the Fourth Proportional to 12,238.16, 18,346.64 and 7,297.41

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Solution

The fourth proportional to 12,238.16, 18,346.64 and 7,297.41 is: 10,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.16 : 18,346.64 = 7,297.41 : x
  2. Step 2: Convert to fraction form
    12,238.16/18,346.64 = 7,297.41/x
  3. Step 3: Cross multiply
    12,238.16x = 18,346.64 × 7,297.41
  4. Step 4: Simplify right side
    12,238.16x = 133,882,917.72
  5. Step 5: Solve for x
    x = 133,882,917.72/12,238.16
  6. Step 6: Final answer
    x = 10,939.80

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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.