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Finding the Fourth Proportional to 17,635.38, 24,336.75 and 9,677.73

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Solution

The fourth proportional to 17,635.38, 24,336.75 and 9,677.73 is: 13,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.38 : 24,336.75 = 9,677.73 : x
  2. Step 2: Convert to fraction form
    17,635.38/24,336.75 = 9,677.73/x
  3. Step 3: Cross multiply
    17,635.38x = 24,336.75 × 9,677.73
  4. Step 4: Simplify right side
    17,635.38x = 235,524,447.19
  5. Step 5: Solve for x
    x = 235,524,447.19/17,635.38
  6. Step 6: Final answer
    x = 13,355.23

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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.