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Finding the Fourth Proportional to 27,863.66, 41,800.66 and 9,144.77

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Solution

The fourth proportional to 27,863.66, 41,800.66 and 9,144.77 is: 13,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.66 : 41,800.66 = 9,144.77 : x
  2. Step 2: Convert to fraction form
    27,863.66/41,800.66 = 9,144.77/x
  3. Step 3: Cross multiply
    27,863.66x = 41,800.66 × 9,144.77
  4. Step 4: Simplify right side
    27,863.66x = 382,257,189.68
  5. Step 5: Solve for x
    x = 382,257,189.68/27,863.66
  6. Step 6: Final answer
    x = 13,718.84

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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.