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Finding the Fourth Proportional to 20,227.56, 30,329.82 and 9,826.28

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Solution

The fourth proportional to 20,227.56, 30,329.82 and 9,826.28 is: 14,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.56 : 30,329.82 = 9,826.28 : x
  2. Step 2: Convert to fraction form
    20,227.56/30,329.82 = 9,826.28/x
  3. Step 3: Cross multiply
    20,227.56x = 30,329.82 × 9,826.28
  4. Step 4: Simplify right side
    20,227.56x = 298,029,303.67
  5. Step 5: Solve for x
    x = 298,029,303.67/20,227.56
  6. Step 6: Final answer
    x = 14,733.82

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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.