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Finding the Fourth Proportional to 20,077.94, 27,707.54 and 12,120.18

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Solution

The fourth proportional to 20,077.94, 27,707.54 and 12,120.18 is: 16,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.94 : 27,707.54 = 12,120.18 : x
  2. Step 2: Convert to fraction form
    20,077.94/27,707.54 = 12,120.18/x
  3. Step 3: Cross multiply
    20,077.94x = 27,707.54 × 12,120.18
  4. Step 4: Simplify right side
    20,077.94x = 335,820,311.56
  5. Step 5: Solve for x
    x = 335,820,311.56/20,077.94
  6. Step 6: Final answer
    x = 16,725.84

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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.