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Finding the Fourth Proportional to 20,171.98, 30,226.35 and 12,760.78

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Solution

The fourth proportional to 20,171.98, 30,226.35 and 12,760.78 is: 19,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.98 : 30,226.35 = 12,760.78 : x
  2. Step 2: Convert to fraction form
    20,171.98/30,226.35 = 12,760.78/x
  3. Step 3: Cross multiply
    20,171.98x = 30,226.35 × 12,760.78
  4. Step 4: Simplify right side
    20,171.98x = 385,711,726.99
  5. Step 5: Solve for x
    x = 385,711,726.99/20,171.98
  6. Step 6: Final answer
    x = 19,121.17

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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.