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Finding the Fourth Proportional to 17,833.76, 24,584.38 and 13,577.44

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Solution

The fourth proportional to 17,833.76, 24,584.38 and 13,577.44 is: 18,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.76 : 24,584.38 = 13,577.44 : x
  2. Step 2: Convert to fraction form
    17,833.76/24,584.38 = 13,577.44/x
  3. Step 3: Cross multiply
    17,833.76x = 24,584.38 × 13,577.44
  4. Step 4: Simplify right side
    17,833.76x = 333,792,944.39
  5. Step 5: Solve for x
    x = 333,792,944.39/17,833.76
  6. Step 6: Final answer
    x = 18,716.91

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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.