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Finding the Fourth Proportional to 20,076.18, 27,705.86 and 12,116.86

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Solution

The fourth proportional to 20,076.18, 27,705.86 and 12,116.86 is: 16,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.18 : 27,705.86 = 12,116.86 : x
  2. Step 2: Convert to fraction form
    20,076.18/27,705.86 = 12,116.86/x
  3. Step 3: Cross multiply
    20,076.18x = 27,705.86 × 12,116.86
  4. Step 4: Simplify right side
    20,076.18x = 335,708,046.29
  5. Step 5: Solve for x
    x = 335,708,046.29/20,076.18
  6. Step 6: Final answer
    x = 16,721.71

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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.