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Finding the Fourth Proportional to 12,057.84, 16,626.42 and 7,576.20

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Solution

The fourth proportional to 12,057.84, 16,626.42 and 7,576.20 is: 10,446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.84 : 16,626.42 = 7,576.20 : x
  2. Step 2: Convert to fraction form
    12,057.84/16,626.42 = 7,576.20/x
  3. Step 3: Cross multiply
    12,057.84x = 16,626.42 × 7,576.20
  4. Step 4: Simplify right side
    12,057.84x = 125,965,083.20
  5. Step 5: Solve for x
    x = 125,965,083.20/12,057.84
  6. Step 6: Final answer
    x = 10,446.74

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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.