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Finding the Fourth Proportional to 20,615.28, 30,922.83 and 7,464.57

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Solution

The fourth proportional to 20,615.28, 30,922.83 and 7,464.57 is: 11,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.28 : 30,922.83 = 7,464.57 : x
  2. Step 2: Convert to fraction form
    20,615.28/30,922.83 = 7,464.57/x
  3. Step 3: Cross multiply
    20,615.28x = 30,922.83 × 7,464.57
  4. Step 4: Simplify right side
    20,615.28x = 230,825,513.17
  5. Step 5: Solve for x
    x = 230,825,513.17/20,615.28
  6. Step 6: Final answer
    x = 11,196.82

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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.