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Finding the Fourth Proportional to 20,548.90, 30,823.56 and 6,508.67

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Solution

The fourth proportional to 20,548.90, 30,823.56 and 6,508.67 is: 9,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.90 : 30,823.56 = 6,508.67 : x
  2. Step 2: Convert to fraction form
    20,548.90/30,823.56 = 6,508.67/x
  3. Step 3: Cross multiply
    20,548.90x = 30,823.56 × 6,508.67
  4. Step 4: Simplify right side
    20,548.90x = 200,620,380.27
  5. Step 5: Solve for x
    x = 200,620,380.27/20,548.90
  6. Step 6: Final answer
    x = 9,763.07

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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.