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Finding the Fourth Proportional to 27,865.96, 41,802.86 and 8,146

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Solution

The fourth proportional to 27,865.96, 41,802.86 and 8,146 is: 12,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.96 : 41,802.86 = 8,146 : x
  2. Step 2: Convert to fraction form
    27,865.96/41,802.86 = 8,146/x
  3. Step 3: Cross multiply
    27,865.96x = 41,802.86 × 8,146
  4. Step 4: Simplify right side
    27,865.96x = 340,526,097.56
  5. Step 5: Solve for x
    x = 340,526,097.56/27,865.96
  6. Step 6: Final answer
    x = 12,220.15

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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.