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Finding the Fourth Proportional to 10,224.81, 15,338.84 and 3,204.27

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Solution

The fourth proportional to 10,224.81, 15,338.84 and 3,204.27 is: 4,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.81 : 15,338.84 = 3,204.27 : x
  2. Step 2: Convert to fraction form
    10,224.81/15,338.84 = 3,204.27/x
  3. Step 3: Cross multiply
    10,224.81x = 15,338.84 × 3,204.27
  4. Step 4: Simplify right side
    10,224.81x = 49,149,784.85
  5. Step 5: Solve for x
    x = 49,149,784.85/10,224.81
  6. Step 6: Final answer
    x = 4,806.91

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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.