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Finding the Fourth Proportional to 20,596.20, 30,894.30 and 19,213.80

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Solution

The fourth proportional to 20,596.20, 30,894.30 and 19,213.80 is: 28,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.20 : 30,894.30 = 19,213.80 : x
  2. Step 2: Convert to fraction form
    20,596.20/30,894.30 = 19,213.80/x
  3. Step 3: Cross multiply
    20,596.20x = 30,894.30 × 19,213.80
  4. Step 4: Simplify right side
    20,596.20x = 593,596,901.34
  5. Step 5: Solve for x
    x = 593,596,901.34/20,596.20
  6. Step 6: Final answer
    x = 28,820.70

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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.