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Finding the Fourth Proportional to 20,536.28, 30,808.22 and 6,499.84

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Solution

The fourth proportional to 20,536.28, 30,808.22 and 6,499.84 is: 9,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.28 : 30,808.22 = 6,499.84 : x
  2. Step 2: Convert to fraction form
    20,536.28/30,808.22 = 6,499.84/x
  3. Step 3: Cross multiply
    20,536.28x = 30,808.22 × 6,499.84
  4. Step 4: Simplify right side
    20,536.28x = 200,248,485.49
  5. Step 5: Solve for x
    x = 200,248,485.49/20,536.28
  6. Step 6: Final answer
    x = 9,750.96

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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.