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Finding the Fourth Proportional to 12,076.24, 16,665 and 6,771.04

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Solution

The fourth proportional to 12,076.24, 16,665 and 6,771.04 is: 9,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.24 : 16,665 = 6,771.04 : x
  2. Step 2: Convert to fraction form
    12,076.24/16,665 = 6,771.04/x
  3. Step 3: Cross multiply
    12,076.24x = 16,665 × 6,771.04
  4. Step 4: Simplify right side
    12,076.24x = 112,839,381.60
  5. Step 5: Solve for x
    x = 112,839,381.60/12,076.24
  6. Step 6: Final answer
    x = 9,343.92

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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.