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Finding the Fourth Proportional to 17,105.65, 23,605.14 and 10,735.65

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Solution

The fourth proportional to 17,105.65, 23,605.14 and 10,735.65 is: 14,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.65 : 23,605.14 = 10,735.65 : x
  2. Step 2: Convert to fraction form
    17,105.65/23,605.14 = 10,735.65/x
  3. Step 3: Cross multiply
    17,105.65x = 23,605.14 × 10,735.65
  4. Step 4: Simplify right side
    17,105.65x = 253,416,521.24
  5. Step 5: Solve for x
    x = 253,416,521.24/17,105.65
  6. Step 6: Final answer
    x = 14,814.78

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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.