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Finding the Fourth Proportional to 20,133.85, 30,187.44 and 9,605.49

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Solution

The fourth proportional to 20,133.85, 30,187.44 and 9,605.49 is: 14,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.85 : 30,187.44 = 9,605.49 : x
  2. Step 2: Convert to fraction form
    20,133.85/30,187.44 = 9,605.49/x
  3. Step 3: Cross multiply
    20,133.85x = 30,187.44 × 9,605.49
  4. Step 4: Simplify right side
    20,133.85x = 289,965,195.82
  5. Step 5: Solve for x
    x = 289,965,195.82/20,133.85
  6. Step 6: Final answer
    x = 14,401.88

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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.