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Finding the Fourth Proportional to 17,634, 26,451.96 and 5,322.96

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Solution

The fourth proportional to 17,634, 26,451.96 and 5,322.96 is: 7,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634 : 26,451.96 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    17,634/26,451.96 = 5,322.96/x
  3. Step 3: Cross multiply
    17,634x = 26,451.96 × 5,322.96
  4. Step 4: Simplify right side
    17,634x = 140,802,725.00
  5. Step 5: Solve for x
    x = 140,802,725.00/17,634
  6. Step 6: Final answer
    x = 7,984.73

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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.