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Finding the Fourth Proportional to 20,093.24, 27,728.64 and 12,133.92

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Solution

The fourth proportional to 20,093.24, 27,728.64 and 12,133.92 is: 16,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,093.24 : 27,728.64 = 12,133.92 : x
  2. Step 2: Convert to fraction form
    20,093.24/27,728.64 = 12,133.92/x
  3. Step 3: Cross multiply
    20,093.24x = 27,728.64 × 12,133.92
  4. Step 4: Simplify right side
    20,093.24x = 336,457,099.47
  5. Step 5: Solve for x
    x = 336,457,099.47/20,093.24
  6. Step 6: Final answer
    x = 16,744.79

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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.