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Finding the Fourth Proportional to 20,582.28, 30,876.06 and 6,537.30

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Solution

The fourth proportional to 20,582.28, 30,876.06 and 6,537.30 is: 9,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.28 : 30,876.06 = 6,537.30 : x
  2. Step 2: Convert to fraction form
    20,582.28/30,876.06 = 6,537.30/x
  3. Step 3: Cross multiply
    20,582.28x = 30,876.06 × 6,537.30
  4. Step 4: Simplify right side
    20,582.28x = 201,846,067.04
  5. Step 5: Solve for x
    x = 201,846,067.04/20,582.28
  6. Step 6: Final answer
    x = 9,806.79

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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.