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Finding the Fourth Proportional to 17,662.68, 26,494.02 and 7,812

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Solution

The fourth proportional to 17,662.68, 26,494.02 and 7,812 is: 11,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.68 : 26,494.02 = 7,812 : x
  2. Step 2: Convert to fraction form
    17,662.68/26,494.02 = 7,812/x
  3. Step 3: Cross multiply
    17,662.68x = 26,494.02 × 7,812
  4. Step 4: Simplify right side
    17,662.68x = 206,971,284.24
  5. Step 5: Solve for x
    x = 206,971,284.24/17,662.68
  6. Step 6: Final answer
    x = 11,718

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.