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Finding the Fourth Proportional to 20,072.91, 30,086.81 and 9,534.31

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Solution

The fourth proportional to 20,072.91, 30,086.81 and 9,534.31 is: 14,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.91 : 30,086.81 = 9,534.31 : x
  2. Step 2: Convert to fraction form
    20,072.91/30,086.81 = 9,534.31/x
  3. Step 3: Cross multiply
    20,072.91x = 30,086.81 × 9,534.31
  4. Step 4: Simplify right side
    20,072.91x = 286,856,922.07
  5. Step 5: Solve for x
    x = 286,856,922.07/20,072.91
  6. Step 6: Final answer
    x = 14,290.75

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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.