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Finding the Fourth Proportional to 17,584.68, 26,380.86 and 7,197.48

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Solution

The fourth proportional to 17,584.68, 26,380.86 and 7,197.48 is: 10,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.68 : 26,380.86 = 7,197.48 : x
  2. Step 2: Convert to fraction form
    17,584.68/26,380.86 = 7,197.48/x
  3. Step 3: Cross multiply
    17,584.68x = 26,380.86 × 7,197.48
  4. Step 4: Simplify right side
    17,584.68x = 189,875,712.23
  5. Step 5: Solve for x
    x = 189,875,712.23/17,584.68
  6. Step 6: Final answer
    x = 10,797.79

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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.