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Finding the Fourth Proportional to 20,572.20, 30,872.70 and 13,194.60

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Solution

The fourth proportional to 20,572.20, 30,872.70 and 13,194.60 is: 19,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.20 : 30,872.70 = 13,194.60 : x
  2. Step 2: Convert to fraction form
    20,572.20/30,872.70 = 13,194.60/x
  3. Step 3: Cross multiply
    20,572.20x = 30,872.70 × 13,194.60
  4. Step 4: Simplify right side
    20,572.20x = 407,352,927.42
  5. Step 5: Solve for x
    x = 407,352,927.42/20,572.20
  6. Step 6: Final answer
    x = 19,801.14

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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.