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Finding the Fourth Proportional to 20,227.62, 30,301.38 and 9,539.34

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Solution

The fourth proportional to 20,227.62, 30,301.38 and 9,539.34 is: 14,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.62 : 30,301.38 = 9,539.34 : x
  2. Step 2: Convert to fraction form
    20,227.62/30,301.38 = 9,539.34/x
  3. Step 3: Cross multiply
    20,227.62x = 30,301.38 × 9,539.34
  4. Step 4: Simplify right side
    20,227.62x = 289,055,166.29
  5. Step 5: Solve for x
    x = 289,055,166.29/20,227.62
  6. Step 6: Final answer
    x = 14,290.12

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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.