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Finding the Fourth Proportional to 20,997.49, 31,501.65 and 7,849.96

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Solution

The fourth proportional to 20,997.49, 31,501.65 and 7,849.96 is: 11,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.49 : 31,501.65 = 7,849.96 : x
  2. Step 2: Convert to fraction form
    20,997.49/31,501.65 = 7,849.96/x
  3. Step 3: Cross multiply
    20,997.49x = 31,501.65 × 7,849.96
  4. Step 4: Simplify right side
    20,997.49x = 247,286,692.43
  5. Step 5: Solve for x
    x = 247,286,692.43/20,997.49
  6. Step 6: Final answer
    x = 11,776.96

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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.