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Finding the Fourth Proportional to 20,397.80, 30,538.30 and 12,553.80

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Solution

The fourth proportional to 20,397.80, 30,538.30 and 12,553.80 is: 18,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397.80 : 30,538.30 = 12,553.80 : x
  2. Step 2: Convert to fraction form
    20,397.80/30,538.30 = 12,553.80/x
  3. Step 3: Cross multiply
    20,397.80x = 30,538.30 × 12,553.80
  4. Step 4: Simplify right side
    20,397.80x = 383,371,710.54
  5. Step 5: Solve for x
    x = 383,371,710.54/20,397.80
  6. Step 6: Final answer
    x = 18,794.76

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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.