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Finding the Fourth Proportional to 20,168.16, 27,832.34 and 11,216.46

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Solution

The fourth proportional to 20,168.16, 27,832.34 and 11,216.46 is: 15,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.16 : 27,832.34 = 11,216.46 : x
  2. Step 2: Convert to fraction form
    20,168.16/27,832.34 = 11,216.46/x
  3. Step 3: Cross multiply
    20,168.16x = 27,832.34 × 11,216.46
  4. Step 4: Simplify right side
    20,168.16x = 312,180,328.32
  5. Step 5: Solve for x
    x = 312,180,328.32/20,168.16
  6. Step 6: Final answer
    x = 15,478.87

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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.