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Finding the Fourth Proportional to 12,576.25, 17,369.81 and 8,377.21

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Solution

The fourth proportional to 12,576.25, 17,369.81 and 8,377.21 is: 11,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.25 : 17,369.81 = 8,377.21 : x
  2. Step 2: Convert to fraction form
    12,576.25/17,369.81 = 8,377.21/x
  3. Step 3: Cross multiply
    12,576.25x = 17,369.81 × 8,377.21
  4. Step 4: Simplify right side
    12,576.25x = 145,510,504.14
  5. Step 5: Solve for x
    x = 145,510,504.14/12,576.25
  6. Step 6: Final answer
    x = 11,570.26

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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.