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Finding the Fourth Proportional to 17,874.34, 24,663.81 and 10,217.50

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Solution

The fourth proportional to 17,874.34, 24,663.81 and 10,217.50 is: 14,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.34 : 24,663.81 = 10,217.50 : x
  2. Step 2: Convert to fraction form
    17,874.34/24,663.81 = 10,217.50/x
  3. Step 3: Cross multiply
    17,874.34x = 24,663.81 × 10,217.50
  4. Step 4: Simplify right side
    17,874.34x = 252,002,478.68
  5. Step 5: Solve for x
    x = 252,002,478.68/17,874.34
  6. Step 6: Final answer
    x = 14,098.56

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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.