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Finding the Fourth Proportional to 20,420.90, 30,618.02 and 8,582.24

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Solution

The fourth proportional to 20,420.90, 30,618.02 and 8,582.24 is: 12,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.90 : 30,618.02 = 8,582.24 : x
  2. Step 2: Convert to fraction form
    20,420.90/30,618.02 = 8,582.24/x
  3. Step 3: Cross multiply
    20,420.90x = 30,618.02 × 8,582.24
  4. Step 4: Simplify right side
    20,420.90x = 262,770,999.96
  5. Step 5: Solve for x
    x = 262,770,999.96/20,420.90
  6. Step 6: Final answer
    x = 12,867.75

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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.