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Finding the Fourth Proportional to 20,478.20, 30,644.40 and 14,208.80

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Solution

The fourth proportional to 20,478.20, 30,644.40 and 14,208.80 is: 21,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.20 : 30,644.40 = 14,208.80 : x
  2. Step 2: Convert to fraction form
    20,478.20/30,644.40 = 14,208.80/x
  3. Step 3: Cross multiply
    20,478.20x = 30,644.40 × 14,208.80
  4. Step 4: Simplify right side
    20,478.20x = 435,420,150.72
  5. Step 5: Solve for x
    x = 435,420,150.72/20,478.20
  6. Step 6: Final answer
    x = 21,262.62

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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.