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Finding the Fourth Proportional to 13,427.40, 20,162.70 and 10,144.20

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Solution

The fourth proportional to 13,427.40, 20,162.70 and 10,144.20 is: 15,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.40 : 20,162.70 = 10,144.20 : x
  2. Step 2: Convert to fraction form
    13,427.40/20,162.70 = 10,144.20/x
  3. Step 3: Cross multiply
    13,427.40x = 20,162.70 × 10,144.20
  4. Step 4: Simplify right side
    13,427.40x = 204,534,461.34
  5. Step 5: Solve for x
    x = 204,534,461.34/13,427.40
  6. Step 6: Final answer
    x = 15,232.62

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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.