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Finding the Fourth Proportional to 13,517.34, 18,662.70 and 12,098.57

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Solution

The fourth proportional to 13,517.34, 18,662.70 and 12,098.57 is: 16,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.34 : 18,662.70 = 12,098.57 : x
  2. Step 2: Convert to fraction form
    13,517.34/18,662.70 = 12,098.57/x
  3. Step 3: Cross multiply
    13,517.34x = 18,662.70 × 12,098.57
  4. Step 4: Simplify right side
    13,517.34x = 225,791,982.34
  5. Step 5: Solve for x
    x = 225,791,982.34/13,517.34
  6. Step 6: Final answer
    x = 16,703.88

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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.