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Finding the Fourth Proportional to 12,057.40, 16,631.85 and 7,969.20

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Solution

The fourth proportional to 12,057.40, 16,631.85 and 7,969.20 is: 10,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.40 : 16,631.85 = 7,969.20 : x
  2. Step 2: Convert to fraction form
    12,057.40/16,631.85 = 7,969.20/x
  3. Step 3: Cross multiply
    12,057.40x = 16,631.85 × 7,969.20
  4. Step 4: Simplify right side
    12,057.40x = 132,542,455.86
  5. Step 5: Solve for x
    x = 132,542,455.86/12,057.40
  6. Step 6: Final answer
    x = 10,992.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.