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Finding the Fourth Proportional to 17,853.57, 24,636.98 and 10,299.46

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Solution

The fourth proportional to 17,853.57, 24,636.98 and 10,299.46 is: 14,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.57 : 24,636.98 = 10,299.46 : x
  2. Step 2: Convert to fraction form
    17,853.57/24,636.98 = 10,299.46/x
  3. Step 3: Cross multiply
    17,853.57x = 24,636.98 × 10,299.46
  4. Step 4: Simplify right side
    17,853.57x = 253,747,615.78
  5. Step 5: Solve for x
    x = 253,747,615.78/17,853.57
  6. Step 6: Final answer
    x = 14,212.71

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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.