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Finding the Fourth Proportional to 20,408.60, 30,612.90 and 20,214.20

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Solution

The fourth proportional to 20,408.60, 30,612.90 and 20,214.20 is: 30,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.60 : 30,612.90 = 20,214.20 : x
  2. Step 2: Convert to fraction form
    20,408.60/30,612.90 = 20,214.20/x
  3. Step 3: Cross multiply
    20,408.60x = 30,612.90 × 20,214.20
  4. Step 4: Simplify right side
    20,408.60x = 618,815,283.18
  5. Step 5: Solve for x
    x = 618,815,283.18/20,408.60
  6. Step 6: Final answer
    x = 30,321.30

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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.