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Finding the Fourth Proportional to 20,011.36, 27,614.90 and 11,516.22

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Solution

The fourth proportional to 20,011.36, 27,614.90 and 11,516.22 is: 15,891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011.36 : 27,614.90 = 11,516.22 : x
  2. Step 2: Convert to fraction form
    20,011.36/27,614.90 = 11,516.22/x
  3. Step 3: Cross multiply
    20,011.36x = 27,614.90 × 11,516.22
  4. Step 4: Simplify right side
    20,011.36x = 318,019,339.01
  5. Step 5: Solve for x
    x = 318,019,339.01/20,011.36
  6. Step 6: Final answer
    x = 15,891.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.