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Finding the Fourth Proportional to 17,638.57, 26,454.33 and 8,276.18

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Solution

The fourth proportional to 17,638.57, 26,454.33 and 8,276.18 is: 12,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.57 : 26,454.33 = 8,276.18 : x
  2. Step 2: Convert to fraction form
    17,638.57/26,454.33 = 8,276.18/x
  3. Step 3: Cross multiply
    17,638.57x = 26,454.33 × 8,276.18
  4. Step 4: Simplify right side
    17,638.57x = 218,940,796.86
  5. Step 5: Solve for x
    x = 218,940,796.86/17,638.57
  6. Step 6: Final answer
    x = 12,412.62

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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.