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Finding the Fourth Proportional to 12,812.26, 17,680.90 and 7,223.26

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Solution

The fourth proportional to 12,812.26, 17,680.90 and 7,223.26 is: 9,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.26 : 17,680.90 = 7,223.26 : x
  2. Step 2: Convert to fraction form
    12,812.26/17,680.90 = 7,223.26/x
  3. Step 3: Cross multiply
    12,812.26x = 17,680.90 × 7,223.26
  4. Step 4: Simplify right side
    12,812.26x = 127,713,737.73
  5. Step 5: Solve for x
    x = 127,713,737.73/12,812.26
  6. Step 6: Final answer
    x = 9,968.09

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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.