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Finding the Fourth Proportional to 17,626.60, 26,431.80 and 7,760.80

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Solution

The fourth proportional to 17,626.60, 26,431.80 and 7,760.80 is: 11,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,626.60 : 26,431.80 = 7,760.80 : x
  2. Step 2: Convert to fraction form
    17,626.60/26,431.80 = 7,760.80/x
  3. Step 3: Cross multiply
    17,626.60x = 26,431.80 × 7,760.80
  4. Step 4: Simplify right side
    17,626.60x = 205,131,913.44
  5. Step 5: Solve for x
    x = 205,131,913.44/17,626.60
  6. Step 6: Final answer
    x = 11,637.63

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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.