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Finding the Fourth Proportional to 13,712.69, 20,563.22 and 5,391.38

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Solution

The fourth proportional to 13,712.69, 20,563.22 and 5,391.38 is: 8,084.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.69 : 20,563.22 = 5,391.38 : x
  2. Step 2: Convert to fraction form
    13,712.69/20,563.22 = 5,391.38/x
  3. Step 3: Cross multiply
    13,712.69x = 20,563.22 × 5,391.38
  4. Step 4: Simplify right side
    13,712.69x = 110,864,197.93
  5. Step 5: Solve for x
    x = 110,864,197.93/13,712.69
  6. Step 6: Final answer
    x = 8,084.79

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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.