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Finding the Fourth Proportional to 27,601.75, 41,409.15 and 9,133.75

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Solution

The fourth proportional to 27,601.75, 41,409.15 and 9,133.75 is: 13,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.75 : 41,409.15 = 9,133.75 : x
  2. Step 2: Convert to fraction form
    27,601.75/41,409.15 = 9,133.75/x
  3. Step 3: Cross multiply
    27,601.75x = 41,409.15 × 9,133.75
  4. Step 4: Simplify right side
    27,601.75x = 378,220,823.81
  5. Step 5: Solve for x
    x = 378,220,823.81/27,601.75
  6. Step 6: Final answer
    x = 13,702.78

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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.