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Finding the Fourth Proportional to 17,750, 24,495 and 10,299.44

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Solution

The fourth proportional to 17,750, 24,495 and 10,299.44 is: 14,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750 : 24,495 = 10,299.44 : x
  2. Step 2: Convert to fraction form
    17,750/24,495 = 10,299.44/x
  3. Step 3: Cross multiply
    17,750x = 24,495 × 10,299.44
  4. Step 4: Simplify right side
    17,750x = 252,284,782.80
  5. Step 5: Solve for x
    x = 252,284,782.80/17,750
  6. Step 6: Final answer
    x = 14,213.23

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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.