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Finding the Fourth Proportional to 17,909.97, 24,716.01 and 10,836.41

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Solution

The fourth proportional to 17,909.97, 24,716.01 and 10,836.41 is: 14,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.97 : 24,716.01 = 10,836.41 : x
  2. Step 2: Convert to fraction form
    17,909.97/24,716.01 = 10,836.41/x
  3. Step 3: Cross multiply
    17,909.97x = 24,716.01 × 10,836.41
  4. Step 4: Simplify right side
    17,909.97x = 267,832,694.34
  5. Step 5: Solve for x
    x = 267,832,694.34/17,909.97
  6. Step 6: Final answer
    x = 14,954.39

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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.