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Finding the Fourth Proportional to 20,388.67, 30,596.00 and 9,296.46

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Solution

The fourth proportional to 20,388.67, 30,596.00 and 9,296.46 is: 13,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.67 : 30,596.00 = 9,296.46 : x
  2. Step 2: Convert to fraction form
    20,388.67/30,596.00 = 9,296.46/x
  3. Step 3: Cross multiply
    20,388.67x = 30,596.00 × 9,296.46
  4. Step 4: Simplify right side
    20,388.67x = 284,434,443.68
  5. Step 5: Solve for x
    x = 284,434,443.68/20,388.67
  6. Step 6: Final answer
    x = 13,950.61

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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.