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Finding the Fourth Proportional to 20,217.44, 30,324.71 and 7,564.79

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Solution

The fourth proportional to 20,217.44, 30,324.71 and 7,564.79 is: 11,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.44 : 30,324.71 = 7,564.79 : x
  2. Step 2: Convert to fraction form
    20,217.44/30,324.71 = 7,564.79/x
  3. Step 3: Cross multiply
    20,217.44x = 30,324.71 × 7,564.79
  4. Step 4: Simplify right side
    20,217.44x = 229,399,873.51
  5. Step 5: Solve for x
    x = 229,399,873.51/20,217.44
  6. Step 6: Final answer
    x = 11,346.64

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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.