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Finding the Fourth Proportional to 20,071.94, 30,091.84 and 9,536.67

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Solution

The fourth proportional to 20,071.94, 30,091.84 and 9,536.67 is: 14,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.94 : 30,091.84 = 9,536.67 : x
  2. Step 2: Convert to fraction form
    20,071.94/30,091.84 = 9,536.67/x
  3. Step 3: Cross multiply
    20,071.94x = 30,091.84 × 9,536.67
  4. Step 4: Simplify right side
    20,071.94x = 286,975,923.93
  5. Step 5: Solve for x
    x = 286,975,923.93/20,071.94
  6. Step 6: Final answer
    x = 14,297.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.