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Finding the Fourth Proportional to 22,996.49, 31,734.14 and 13,437.27

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Solution

The fourth proportional to 22,996.49, 31,734.14 and 13,437.27 is: 18,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.49 : 31,734.14 = 13,437.27 : x
  2. Step 2: Convert to fraction form
    22,996.49/31,734.14 = 13,437.27/x
  3. Step 3: Cross multiply
    22,996.49x = 31,734.14 × 13,437.27
  4. Step 4: Simplify right side
    22,996.49x = 426,420,145.44
  5. Step 5: Solve for x
    x = 426,420,145.44/22,996.49
  6. Step 6: Final answer
    x = 18,542.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.