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Finding the Fourth Proportional to 20,344.20, 30,456.90 and 14,512.20

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Solution

The fourth proportional to 20,344.20, 30,456.90 and 14,512.20 is: 21,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.20 : 30,456.90 = 14,512.20 : x
  2. Step 2: Convert to fraction form
    20,344.20/30,456.90 = 14,512.20/x
  3. Step 3: Cross multiply
    20,344.20x = 30,456.90 × 14,512.20
  4. Step 4: Simplify right side
    20,344.20x = 441,996,624.18
  5. Step 5: Solve for x
    x = 441,996,624.18/20,344.20
  6. Step 6: Final answer
    x = 21,725.93

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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.