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Finding the Fourth Proportional to 12,057.64, 16,639.22 and 6,679.80

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Solution

The fourth proportional to 12,057.64, 16,639.22 and 6,679.80 is: 9,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.64 : 16,639.22 = 6,679.80 : x
  2. Step 2: Convert to fraction form
    12,057.64/16,639.22 = 6,679.80/x
  3. Step 3: Cross multiply
    12,057.64x = 16,639.22 × 6,679.80
  4. Step 4: Simplify right side
    12,057.64x = 111,146,661.76
  5. Step 5: Solve for x
    x = 111,146,661.76/12,057.64
  6. Step 6: Final answer
    x = 9,217.94

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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.