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Finding the Fourth Proportional to 13,674.18, 20,517.30 and 13,083.68

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Solution

The fourth proportional to 13,674.18, 20,517.30 and 13,083.68 is: 19,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.18 : 20,517.30 = 13,083.68 : x
  2. Step 2: Convert to fraction form
    13,674.18/20,517.30 = 13,083.68/x
  3. Step 3: Cross multiply
    13,674.18x = 20,517.30 × 13,083.68
  4. Step 4: Simplify right side
    13,674.18x = 268,441,787.66
  5. Step 5: Solve for x
    x = 268,441,787.66/13,674.18
  6. Step 6: Final answer
    x = 19,631.29

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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.