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Finding the Fourth Proportional to 17,658.75, 24,371.24 and 10,206.75

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Solution

The fourth proportional to 17,658.75, 24,371.24 and 10,206.75 is: 14,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.75 : 24,371.24 = 10,206.75 : x
  2. Step 2: Convert to fraction form
    17,658.75/24,371.24 = 10,206.75/x
  3. Step 3: Cross multiply
    17,658.75x = 24,371.24 × 10,206.75
  4. Step 4: Simplify right side
    17,658.75x = 248,751,102.84
  5. Step 5: Solve for x
    x = 248,751,102.84/17,658.75
  6. Step 6: Final answer
    x = 14,086.56

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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.