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Finding the Fourth Proportional to 20,221.40, 30,299.70 and 13,287.80

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Solution

The fourth proportional to 20,221.40, 30,299.70 and 13,287.80 is: 19,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.40 : 30,299.70 = 13,287.80 : x
  2. Step 2: Convert to fraction form
    20,221.40/30,299.70 = 13,287.80/x
  3. Step 3: Cross multiply
    20,221.40x = 30,299.70 × 13,287.80
  4. Step 4: Simplify right side
    20,221.40x = 402,616,353.66
  5. Step 5: Solve for x
    x = 402,616,353.66/20,221.40
  6. Step 6: Final answer
    x = 19,910.41

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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.