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Finding the Fourth Proportional to 13,996.56, 20,829.70 and 13,530

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Solution

The fourth proportional to 13,996.56, 20,829.70 and 13,530 is: 20,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,996.56 : 20,829.70 = 13,530 : x
  2. Step 2: Convert to fraction form
    13,996.56/20,829.70 = 13,530/x
  3. Step 3: Cross multiply
    13,996.56x = 20,829.70 × 13,530
  4. Step 4: Simplify right side
    13,996.56x = 281,825,841
  5. Step 5: Solve for x
    x = 281,825,841/13,996.56
  6. Step 6: Final answer
    x = 20,135.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.