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Finding the Fourth Proportional to 12,076.64, 16,658.69 and 7,593.29

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Solution

The fourth proportional to 12,076.64, 16,658.69 and 7,593.29 is: 10,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.64 : 16,658.69 = 7,593.29 : x
  2. Step 2: Convert to fraction form
    12,076.64/16,658.69 = 7,593.29/x
  3. Step 3: Cross multiply
    12,076.64x = 16,658.69 × 7,593.29
  4. Step 4: Simplify right side
    12,076.64x = 126,494,142.93
  5. Step 5: Solve for x
    x = 126,494,142.93/12,076.64
  6. Step 6: Final answer
    x = 10,474.29

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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.