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Finding the Fourth Proportional to 13,080.50, 18,047.10 and 7,414.34

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Solution

The fourth proportional to 13,080.50, 18,047.10 and 7,414.34 is: 10,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,080.50 : 18,047.10 = 7,414.34 : x
  2. Step 2: Convert to fraction form
    13,080.50/18,047.10 = 7,414.34/x
  3. Step 3: Cross multiply
    13,080.50x = 18,047.10 × 7,414.34
  4. Step 4: Simplify right side
    13,080.50x = 133,807,335.41
  5. Step 5: Solve for x
    x = 133,807,335.41/13,080.50
  6. Step 6: Final answer
    x = 10,229.53

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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.