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Finding the Fourth Proportional to 20,786.50, 31,190.17 and 9,694.06

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Solution

The fourth proportional to 20,786.50, 31,190.17 and 9,694.06 is: 14,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.50 : 31,190.17 = 9,694.06 : x
  2. Step 2: Convert to fraction form
    20,786.50/31,190.17 = 9,694.06/x
  3. Step 3: Cross multiply
    20,786.50x = 31,190.17 × 9,694.06
  4. Step 4: Simplify right side
    20,786.50x = 302,359,313.53
  5. Step 5: Solve for x
    x = 302,359,313.53/20,786.50
  6. Step 6: Final answer
    x = 14,545.95

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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.