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Finding the Fourth Proportional to 27,338.96, 41,008.08 and 7,617.62

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Solution

The fourth proportional to 27,338.96, 41,008.08 and 7,617.62 is: 11,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.96 : 41,008.08 = 7,617.62 : x
  2. Step 2: Convert to fraction form
    27,338.96/41,008.08 = 7,617.62/x
  3. Step 3: Cross multiply
    27,338.96x = 41,008.08 × 7,617.62
  4. Step 4: Simplify right side
    27,338.96x = 312,383,970.37
  5. Step 5: Solve for x
    x = 312,383,970.37/27,338.96
  6. Step 6: Final answer
    x = 11,426.33

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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.