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Finding the Fourth Proportional to 20,109.40, 30,165.90 and 8,420.20

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Solution

The fourth proportional to 20,109.40, 30,165.90 and 8,420.20 is: 12,631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.40 : 30,165.90 = 8,420.20 : x
  2. Step 2: Convert to fraction form
    20,109.40/30,165.90 = 8,420.20/x
  3. Step 3: Cross multiply
    20,109.40x = 30,165.90 × 8,420.20
  4. Step 4: Simplify right side
    20,109.40x = 254,002,911.18
  5. Step 5: Solve for x
    x = 254,002,911.18/20,109.40
  6. Step 6: Final answer
    x = 12,631.05

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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.