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Finding the Fourth Proportional to 17,649.33, 24,367.50 and 10,942.11

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Solution

The fourth proportional to 17,649.33, 24,367.50 and 10,942.11 is: 15,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.33 : 24,367.50 = 10,942.11 : x
  2. Step 2: Convert to fraction form
    17,649.33/24,367.50 = 10,942.11/x
  3. Step 3: Cross multiply
    17,649.33x = 24,367.50 × 10,942.11
  4. Step 4: Simplify right side
    17,649.33x = 266,631,865.43
  5. Step 5: Solve for x
    x = 266,631,865.43/17,649.33
  6. Step 6: Final answer
    x = 15,107.19

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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.