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Finding the Fourth Proportional to 27,436.72, 41,166.94 and 9,680.05

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Solution

The fourth proportional to 27,436.72, 41,166.94 and 9,680.05 is: 14,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,436.72 : 41,166.94 = 9,680.05 : x
  2. Step 2: Convert to fraction form
    27,436.72/41,166.94 = 9,680.05/x
  3. Step 3: Cross multiply
    27,436.72x = 41,166.94 × 9,680.05
  4. Step 4: Simplify right side
    27,436.72x = 398,498,140.46
  5. Step 5: Solve for x
    x = 398,498,140.46/27,436.72
  6. Step 6: Final answer
    x = 14,524.26

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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.