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Finding the Fourth Proportional to 20,165.40, 30,215.70 and 13,231.80

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Solution

The fourth proportional to 20,165.40, 30,215.70 and 13,231.80 is: 19,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.40 : 30,215.70 = 13,231.80 : x
  2. Step 2: Convert to fraction form
    20,165.40/30,215.70 = 13,231.80/x
  3. Step 3: Cross multiply
    20,165.40x = 30,215.70 × 13,231.80
  4. Step 4: Simplify right side
    20,165.40x = 399,808,099.26
  5. Step 5: Solve for x
    x = 399,808,099.26/20,165.40
  6. Step 6: Final answer
    x = 19,826.44

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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.