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Finding the Fourth Proportional to 20,584.80, 30,877.20 and 12,274.20

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Solution

The fourth proportional to 20,584.80, 30,877.20 and 12,274.20 is: 18,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.80 : 30,877.20 = 12,274.20 : x
  2. Step 2: Convert to fraction form
    20,584.80/30,877.20 = 12,274.20/x
  3. Step 3: Cross multiply
    20,584.80x = 30,877.20 × 12,274.20
  4. Step 4: Simplify right side
    20,584.80x = 378,992,928.24
  5. Step 5: Solve for x
    x = 378,992,928.24/20,584.80
  6. Step 6: Final answer
    x = 18,411.30

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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.