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Finding the Fourth Proportional to 20,720.40, 31,080.60 and 12,409.80

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Solution

The fourth proportional to 20,720.40, 31,080.60 and 12,409.80 is: 18,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.40 : 31,080.60 = 12,409.80 : x
  2. Step 2: Convert to fraction form
    20,720.40/31,080.60 = 12,409.80/x
  3. Step 3: Cross multiply
    20,720.40x = 31,080.60 × 12,409.80
  4. Step 4: Simplify right side
    20,720.40x = 385,704,029.88
  5. Step 5: Solve for x
    x = 385,704,029.88/20,720.40
  6. Step 6: Final answer
    x = 18,614.70

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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.