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Finding the Fourth Proportional to 27,818.90, 41,735.18 and 8,097.63

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Solution

The fourth proportional to 27,818.90, 41,735.18 and 8,097.63 is: 12,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.90 : 41,735.18 = 8,097.63 : x
  2. Step 2: Convert to fraction form
    27,818.90/41,735.18 = 8,097.63/x
  3. Step 3: Cross multiply
    27,818.90x = 41,735.18 × 8,097.63
  4. Step 4: Simplify right side
    27,818.90x = 337,956,005.14
  5. Step 5: Solve for x
    x = 337,956,005.14/27,818.90
  6. Step 6: Final answer
    x = 12,148.43

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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.