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Finding the Fourth Proportional to 20,704.80, 31,057.20 and 12,410.40

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Solution

The fourth proportional to 20,704.80, 31,057.20 and 12,410.40 is: 18,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.80 : 31,057.20 = 12,410.40 : x
  2. Step 2: Convert to fraction form
    20,704.80/31,057.20 = 12,410.40/x
  3. Step 3: Cross multiply
    20,704.80x = 31,057.20 × 12,410.40
  4. Step 4: Simplify right side
    20,704.80x = 385,432,274.88
  5. Step 5: Solve for x
    x = 385,432,274.88/20,704.80
  6. Step 6: Final answer
    x = 18,615.60

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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.