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Finding the Fourth Proportional to 17,618.82, 24,310.17 and 10,162.50

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Solution

The fourth proportional to 17,618.82, 24,310.17 and 10,162.50 is: 14,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.82 : 24,310.17 = 10,162.50 : x
  2. Step 2: Convert to fraction form
    17,618.82/24,310.17 = 10,162.50/x
  3. Step 3: Cross multiply
    17,618.82x = 24,310.17 × 10,162.50
  4. Step 4: Simplify right side
    17,618.82x = 247,052,102.63
  5. Step 5: Solve for x
    x = 247,052,102.63/17,618.82
  6. Step 6: Final answer
    x = 14,022.06

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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.