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Finding the Fourth Proportional to 27,815.90, 41,730.67 and 8,094.62

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Solution

The fourth proportional to 27,815.90, 41,730.67 and 8,094.62 is: 12,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.90 : 41,730.67 = 8,094.62 : x
  2. Step 2: Convert to fraction form
    27,815.90/41,730.67 = 8,094.62/x
  3. Step 3: Cross multiply
    27,815.90x = 41,730.67 × 8,094.62
  4. Step 4: Simplify right side
    27,815.90x = 337,794,030.44
  5. Step 5: Solve for x
    x = 337,794,030.44/27,815.90
  6. Step 6: Final answer
    x = 12,143.92

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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.