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Finding the Fourth Proportional to 13,923.89, 20,884.89 and 6,530

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Solution

The fourth proportional to 13,923.89, 20,884.89 and 6,530 is: 9,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.89 : 20,884.89 = 6,530 : x
  2. Step 2: Convert to fraction form
    13,923.89/20,884.89 = 6,530/x
  3. Step 3: Cross multiply
    13,923.89x = 20,884.89 × 6,530
  4. Step 4: Simplify right side
    13,923.89x = 136,378,331.70
  5. Step 5: Solve for x
    x = 136,378,331.70/13,923.89
  6. Step 6: Final answer
    x = 9,794.56

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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.