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Finding the Fourth Proportional to 20,178.80, 30,221.28 and 19,478.24

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Solution

The fourth proportional to 20,178.80, 30,221.28 and 19,478.24 is: 29,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.80 : 30,221.28 = 19,478.24 : x
  2. Step 2: Convert to fraction form
    20,178.80/30,221.28 = 19,478.24/x
  3. Step 3: Cross multiply
    20,178.80x = 30,221.28 × 19,478.24
  4. Step 4: Simplify right side
    20,178.80x = 588,657,344.95
  5. Step 5: Solve for x
    x = 588,657,344.95/20,178.80
  6. Step 6: Final answer
    x = 29,172.07

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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.