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Finding the Fourth Proportional to 12,076.74, 16,665.69 and 6,771.54

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Solution

The fourth proportional to 12,076.74, 16,665.69 and 6,771.54 is: 9,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.74 : 16,665.69 = 6,771.54 : x
  2. Step 2: Convert to fraction form
    12,076.74/16,665.69 = 6,771.54/x
  3. Step 3: Cross multiply
    12,076.74x = 16,665.69 × 6,771.54
  4. Step 4: Simplify right side
    12,076.74x = 112,852,386.46
  5. Step 5: Solve for x
    x = 112,852,386.46/12,076.74
  6. Step 6: Final answer
    x = 9,344.61

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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.