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Finding the Fourth Proportional to 18,536.72, 27,812.16 and 11,146.41

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Solution

The fourth proportional to 18,536.72, 27,812.16 and 11,146.41 is: 16,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.72 : 27,812.16 = 11,146.41 : x
  2. Step 2: Convert to fraction form
    18,536.72/27,812.16 = 11,146.41/x
  3. Step 3: Cross multiply
    18,536.72x = 27,812.16 × 11,146.41
  4. Step 4: Simplify right side
    18,536.72x = 310,005,738.35
  5. Step 5: Solve for x
    x = 310,005,738.35/18,536.72
  6. Step 6: Final answer
    x = 16,723.88

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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.