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Finding the Fourth Proportional to 27,861.59, 41,792.40 and 9,863.21

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Solution

The fourth proportional to 27,861.59, 41,792.40 and 9,863.21 is: 14,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,861.59 : 41,792.40 = 9,863.21 : x
  2. Step 2: Convert to fraction form
    27,861.59/41,792.40 = 9,863.21/x
  3. Step 3: Cross multiply
    27,861.59x = 41,792.40 × 9,863.21
  4. Step 4: Simplify right side
    27,861.59x = 412,207,008.64
  5. Step 5: Solve for x
    x = 412,207,008.64/27,861.59
  6. Step 6: Final answer
    x = 14,794.82

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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.