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Finding the Fourth Proportional to 20,077.76, 27,708.28 and 12,119.84

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Solution

The fourth proportional to 20,077.76, 27,708.28 and 12,119.84 is: 16,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.76 : 27,708.28 = 12,119.84 : x
  2. Step 2: Convert to fraction form
    20,077.76/27,708.28 = 12,119.84/x
  3. Step 3: Cross multiply
    20,077.76x = 27,708.28 × 12,119.84
  4. Step 4: Simplify right side
    20,077.76x = 335,819,920.28
  5. Step 5: Solve for x
    x = 335,819,920.28/20,077.76
  6. Step 6: Final answer
    x = 16,725.97

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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.