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Finding the Fourth Proportional to 16,841.73, 23,241.05 and 9,288.39

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Solution

The fourth proportional to 16,841.73, 23,241.05 and 9,288.39 is: 12,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.73 : 23,241.05 = 9,288.39 : x
  2. Step 2: Convert to fraction form
    16,841.73/23,241.05 = 9,288.39/x
  3. Step 3: Cross multiply
    16,841.73x = 23,241.05 × 9,288.39
  4. Step 4: Simplify right side
    16,841.73x = 215,871,936.41
  5. Step 5: Solve for x
    x = 215,871,936.41/16,841.73
  6. Step 6: Final answer
    x = 12,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.