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Finding the Fourth Proportional to 27,617.33, 41,428.38 and 7,626.82

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Solution

The fourth proportional to 27,617.33, 41,428.38 and 7,626.82 is: 11,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.33 : 41,428.38 = 7,626.82 : x
  2. Step 2: Convert to fraction form
    27,617.33/41,428.38 = 7,626.82/x
  3. Step 3: Cross multiply
    27,617.33x = 41,428.38 × 7,626.82
  4. Step 4: Simplify right side
    27,617.33x = 315,966,693.58
  5. Step 5: Solve for x
    x = 315,966,693.58/27,617.33
  6. Step 6: Final answer
    x = 11,440.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.