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Finding the Fourth Proportional to 20,168.56, 27,831 and 11,216.08

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Solution

The fourth proportional to 20,168.56, 27,831 and 11,216.08 is: 15,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.56 : 27,831 = 11,216.08 : x
  2. Step 2: Convert to fraction form
    20,168.56/27,831 = 11,216.08/x
  3. Step 3: Cross multiply
    20,168.56x = 27,831 × 11,216.08
  4. Step 4: Simplify right side
    20,168.56x = 312,154,722.48
  5. Step 5: Solve for x
    x = 312,154,722.48/20,168.56
  6. Step 6: Final answer
    x = 15,477.29

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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.