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Finding the Fourth Proportional to 13,982.25, 20,938.30 and 8,356.45

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Solution

The fourth proportional to 13,982.25, 20,938.30 and 8,356.45 is: 12,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.25 : 20,938.30 = 8,356.45 : x
  2. Step 2: Convert to fraction form
    13,982.25/20,938.30 = 8,356.45/x
  3. Step 3: Cross multiply
    13,982.25x = 20,938.30 × 8,356.45
  4. Step 4: Simplify right side
    13,982.25x = 174,969,857.04
  5. Step 5: Solve for x
    x = 174,969,857.04/13,982.25
  6. Step 6: Final answer
    x = 12,513.71

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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.