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Finding the Fourth Proportional to 20,149.80, 30,224.70 and 15,478.80

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Solution

The fourth proportional to 20,149.80, 30,224.70 and 15,478.80 is: 23,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.80 : 30,224.70 = 15,478.80 : x
  2. Step 2: Convert to fraction form
    20,149.80/30,224.70 = 15,478.80/x
  3. Step 3: Cross multiply
    20,149.80x = 30,224.70 × 15,478.80
  4. Step 4: Simplify right side
    20,149.80x = 467,842,086.36
  5. Step 5: Solve for x
    x = 467,842,086.36/20,149.80
  6. Step 6: Final answer
    x = 23,218.20

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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.