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Finding the Fourth Proportional to 12,671.61, 18,960.33 and 7,969.66

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Solution

The fourth proportional to 12,671.61, 18,960.33 and 7,969.66 is: 11,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671.61 : 18,960.33 = 7,969.66 : x
  2. Step 2: Convert to fraction form
    12,671.61/18,960.33 = 7,969.66/x
  3. Step 3: Cross multiply
    12,671.61x = 18,960.33 × 7,969.66
  4. Step 4: Simplify right side
    12,671.61x = 151,107,450.91
  5. Step 5: Solve for x
    x = 151,107,450.91/12,671.61
  6. Step 6: Final answer
    x = 11,924.88

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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.