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Finding the Fourth Proportional to 27,397.96, 41,098.78 and 9,626.46

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Solution

The fourth proportional to 27,397.96, 41,098.78 and 9,626.46 is: 14,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397.96 : 41,098.78 = 9,626.46 : x
  2. Step 2: Convert to fraction form
    27,397.96/41,098.78 = 9,626.46/x
  3. Step 3: Cross multiply
    27,397.96x = 41,098.78 × 9,626.46
  4. Step 4: Simplify right side
    27,397.96x = 395,635,761.72
  5. Step 5: Solve for x
    x = 395,635,761.72/27,397.96
  6. Step 6: Final answer
    x = 14,440.34

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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.