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Finding the Fourth Proportional to 17,841.50, 24,615.74 and 10,286.88

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Solution

The fourth proportional to 17,841.50, 24,615.74 and 10,286.88 is: 14,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.50 : 24,615.74 = 10,286.88 : x
  2. Step 2: Convert to fraction form
    17,841.50/24,615.74 = 10,286.88/x
  3. Step 3: Cross multiply
    17,841.50x = 24,615.74 × 10,286.88
  4. Step 4: Simplify right side
    17,841.50x = 253,219,163.49
  5. Step 5: Solve for x
    x = 253,219,163.49/17,841.50
  6. Step 6: Final answer
    x = 14,192.71

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1.5x scale

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.