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Finding the Fourth Proportional to 19,732.50, 27,243 and 12,671.37

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Solution

The fourth proportional to 19,732.50, 27,243 and 12,671.37 is: 17,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.50 : 27,243 = 12,671.37 : x
  2. Step 2: Convert to fraction form
    19,732.50/27,243 = 12,671.37/x
  3. Step 3: Cross multiply
    19,732.50x = 27,243 × 12,671.37
  4. Step 4: Simplify right side
    19,732.50x = 345,206,132.91
  5. Step 5: Solve for x
    x = 345,206,132.91/19,732.50
  6. Step 6: Final answer
    x = 17,494.29

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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.