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Finding the Fourth Proportional to 20,164.40, 30,214.20 and 13,230.80

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Solution

The fourth proportional to 20,164.40, 30,214.20 and 13,230.80 is: 19,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.40 : 30,214.20 = 13,230.80 : x
  2. Step 2: Convert to fraction form
    20,164.40/30,214.20 = 13,230.80/x
  3. Step 3: Cross multiply
    20,164.40x = 30,214.20 × 13,230.80
  4. Step 4: Simplify right side
    20,164.40x = 399,758,037.36
  5. Step 5: Solve for x
    x = 399,758,037.36/20,164.40
  6. Step 6: Final answer
    x = 19,824.94

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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.