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Finding the Fourth Proportional to 19,645.62, 27,112.77 and 12,096.96

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Solution

The fourth proportional to 19,645.62, 27,112.77 and 12,096.96 is: 16,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.62 : 27,112.77 = 12,096.96 : x
  2. Step 2: Convert to fraction form
    19,645.62/27,112.77 = 12,096.96/x
  3. Step 3: Cross multiply
    19,645.62x = 27,112.77 × 12,096.96
  4. Step 4: Simplify right side
    19,645.62x = 327,982,094.18
  5. Step 5: Solve for x
    x = 327,982,094.18/19,645.62
  6. Step 6: Final answer
    x = 16,694.92

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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.