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Finding the Fourth Proportional to 13,546.73, 20,306.25 and 5,223.49

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Solution

The fourth proportional to 13,546.73, 20,306.25 and 5,223.49 is: 7,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.73 : 20,306.25 = 5,223.49 : x
  2. Step 2: Convert to fraction form
    13,546.73/20,306.25 = 5,223.49/x
  3. Step 3: Cross multiply
    13,546.73x = 20,306.25 × 5,223.49
  4. Step 4: Simplify right side
    13,546.73x = 106,069,443.05
  5. Step 5: Solve for x
    x = 106,069,443.05/13,546.73
  6. Step 6: Final answer
    x = 7,829.89

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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.