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Finding the Fourth Proportional to 20,236.84, 30,359.10 and 9,143.40

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Solution

The fourth proportional to 20,236.84, 30,359.10 and 9,143.40 is: 13,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.84 : 30,359.10 = 9,143.40 : x
  2. Step 2: Convert to fraction form
    20,236.84/30,359.10 = 9,143.40/x
  3. Step 3: Cross multiply
    20,236.84x = 30,359.10 × 9,143.40
  4. Step 4: Simplify right side
    20,236.84x = 277,585,394.94
  5. Step 5: Solve for x
    x = 277,585,394.94/20,236.84
  6. Step 6: Final answer
    x = 13,716.83

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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.