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Finding the Fourth Proportional to 20,357.94, 30,536.82 and 7,211.28

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Solution

The fourth proportional to 20,357.94, 30,536.82 and 7,211.28 is: 10,816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.94 : 30,536.82 = 7,211.28 : x
  2. Step 2: Convert to fraction form
    20,357.94/30,536.82 = 7,211.28/x
  3. Step 3: Cross multiply
    20,357.94x = 30,536.82 × 7,211.28
  4. Step 4: Simplify right side
    20,357.94x = 220,209,559.33
  5. Step 5: Solve for x
    x = 220,209,559.33/20,357.94
  6. Step 6: Final answer
    x = 10,816.89

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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.