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Finding the Fourth Proportional to 12,179.72, 16,808.09 and 7,142.91

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Solution

The fourth proportional to 12,179.72, 16,808.09 and 7,142.91 is: 9,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.72 : 16,808.09 = 7,142.91 : x
  2. Step 2: Convert to fraction form
    12,179.72/16,808.09 = 7,142.91/x
  3. Step 3: Cross multiply
    12,179.72x = 16,808.09 × 7,142.91
  4. Step 4: Simplify right side
    12,179.72x = 120,058,638.43
  5. Step 5: Solve for x
    x = 120,058,638.43/12,179.72
  6. Step 6: Final answer
    x = 9,857.26

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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.