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Finding the Fourth Proportional to 20,538.56, 30,808.05 and 6,498.33

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Solution

The fourth proportional to 20,538.56, 30,808.05 and 6,498.33 is: 9,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538.56 : 30,808.05 = 6,498.33 : x
  2. Step 2: Convert to fraction form
    20,538.56/30,808.05 = 6,498.33/x
  3. Step 3: Cross multiply
    20,538.56x = 30,808.05 × 6,498.33
  4. Step 4: Simplify right side
    20,538.56x = 200,200,689.02
  5. Step 5: Solve for x
    x = 200,200,689.02/20,538.56
  6. Step 6: Final answer
    x = 9,747.55

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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.