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Finding the Fourth Proportional to 27,623.75, 41,435.63 and 9,155.75

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Solution

The fourth proportional to 27,623.75, 41,435.63 and 9,155.75 is: 13,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,623.75 : 41,435.63 = 9,155.75 : x
  2. Step 2: Convert to fraction form
    27,623.75/41,435.63 = 9,155.75/x
  3. Step 3: Cross multiply
    27,623.75x = 41,435.63 × 9,155.75
  4. Step 4: Simplify right side
    27,623.75x = 379,374,269.37
  5. Step 5: Solve for x
    x = 379,374,269.37/27,623.75
  6. Step 6: Final answer
    x = 13,733.63

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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.