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Finding the Fourth Proportional to 27,612.33, 41,378.80 and 11,813.07

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Solution

The fourth proportional to 27,612.33, 41,378.80 and 11,813.07 is: 17,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.33 : 41,378.80 = 11,813.07 : x
  2. Step 2: Convert to fraction form
    27,612.33/41,378.80 = 11,813.07/x
  3. Step 3: Cross multiply
    27,612.33x = 41,378.80 × 11,813.07
  4. Step 4: Simplify right side
    27,612.33x = 488,810,660.92
  5. Step 5: Solve for x
    x = 488,810,660.92/27,612.33
  6. Step 6: Final answer
    x = 17,702.62

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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.