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Finding the Fourth Proportional to 23,687.82, 35,497.83 and 17,398.50

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Solution

The fourth proportional to 23,687.82, 35,497.83 and 17,398.50 is: 26,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.82 : 35,497.83 = 17,398.50 : x
  2. Step 2: Convert to fraction form
    23,687.82/35,497.83 = 17,398.50/x
  3. Step 3: Cross multiply
    23,687.82x = 35,497.83 × 17,398.50
  4. Step 4: Simplify right side
    23,687.82x = 617,608,995.26
  5. Step 5: Solve for x
    x = 617,608,995.26/23,687.82
  6. Step 6: Final answer
    x = 26,072.85

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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.