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Finding the Fourth Proportional to 20,582.98, 30,847.35 and 11,227.06

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Solution

The fourth proportional to 20,582.98, 30,847.35 and 11,227.06 is: 16,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.98 : 30,847.35 = 11,227.06 : x
  2. Step 2: Convert to fraction form
    20,582.98/30,847.35 = 11,227.06/x
  3. Step 3: Cross multiply
    20,582.98x = 30,847.35 × 11,227.06
  4. Step 4: Simplify right side
    20,582.98x = 346,325,049.29
  5. Step 5: Solve for x
    x = 346,325,049.29/20,582.98
  6. Step 6: Final answer
    x = 16,825.80

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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.