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Finding the Fourth Proportional to 12,156.99, 16,772.12 and 8,171.79

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Solution

The fourth proportional to 12,156.99, 16,772.12 and 8,171.79 is: 11,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.99 : 16,772.12 = 8,171.79 : x
  2. Step 2: Convert to fraction form
    12,156.99/16,772.12 = 8,171.79/x
  3. Step 3: Cross multiply
    12,156.99x = 16,772.12 × 8,171.79
  4. Step 4: Simplify right side
    12,156.99x = 137,058,242.49
  5. Step 5: Solve for x
    x = 137,058,242.49/12,156.99
  6. Step 6: Final answer
    x = 11,274.03

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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.