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Finding the Fourth Proportional to 17,635.68, 24,342.42 and 10,086.30

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Solution

The fourth proportional to 17,635.68, 24,342.42 and 10,086.30 is: 13,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.68 : 24,342.42 = 10,086.30 : x
  2. Step 2: Convert to fraction form
    17,635.68/24,342.42 = 10,086.30/x
  3. Step 3: Cross multiply
    17,635.68x = 24,342.42 × 10,086.30
  4. Step 4: Simplify right side
    17,635.68x = 245,524,950.85
  5. Step 5: Solve for x
    x = 245,524,950.85/17,635.68
  6. Step 6: Final answer
    x = 13,922.06

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