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Finding the Fourth Proportional to 20,281.76, 30,420.30 and 5,489.80

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Solution

The fourth proportional to 20,281.76, 30,420.30 and 5,489.80 is: 8,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.76 : 30,420.30 = 5,489.80 : x
  2. Step 2: Convert to fraction form
    20,281.76/30,420.30 = 5,489.80/x
  3. Step 3: Cross multiply
    20,281.76x = 30,420.30 × 5,489.80
  4. Step 4: Simplify right side
    20,281.76x = 167,001,362.94
  5. Step 5: Solve for x
    x = 167,001,362.94/20,281.76
  6. Step 6: Final answer
    x = 8,234.07

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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.