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Finding the Fourth Proportional to 27,661.20, 41,492.08 and 6,884.70

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Solution

The fourth proportional to 27,661.20, 41,492.08 and 6,884.70 is: 10,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.20 : 41,492.08 = 6,884.70 : x
  2. Step 2: Convert to fraction form
    27,661.20/41,492.08 = 6,884.70/x
  3. Step 3: Cross multiply
    27,661.20x = 41,492.08 × 6,884.70
  4. Step 4: Simplify right side
    27,661.20x = 285,660,523.18
  5. Step 5: Solve for x
    x = 285,660,523.18/27,661.20
  6. Step 6: Final answer
    x = 10,327.12

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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.