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Finding the Fourth Proportional to 17,541.80, 26,299.74 and 8,297

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Solution

The fourth proportional to 17,541.80, 26,299.74 and 8,297 is: 12,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541.80 : 26,299.74 = 8,297 : x
  2. Step 2: Convert to fraction form
    17,541.80/26,299.74 = 8,297/x
  3. Step 3: Cross multiply
    17,541.80x = 26,299.74 × 8,297
  4. Step 4: Simplify right side
    17,541.80x = 218,208,942.78
  5. Step 5: Solve for x
    x = 218,208,942.78/17,541.80
  6. Step 6: Final answer
    x = 12,439.37

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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.