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Finding the Fourth Proportional to 20,087.68, 27,701.77 and 12,019.96

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Solution

The fourth proportional to 20,087.68, 27,701.77 and 12,019.96 is: 16,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,087.68 : 27,701.77 = 12,019.96 : x
  2. Step 2: Convert to fraction form
    20,087.68/27,701.77 = 12,019.96/x
  3. Step 3: Cross multiply
    20,087.68x = 27,701.77 × 12,019.96
  4. Step 4: Simplify right side
    20,087.68x = 332,974,111.38
  5. Step 5: Solve for x
    x = 332,974,111.38/20,087.68
  6. Step 6: Final answer
    x = 16,576.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.