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Finding the Fourth Proportional to 17,207.21, 23,735.93 and 10,823.69

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Solution

The fourth proportional to 17,207.21, 23,735.93 and 10,823.69 is: 14,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.21 : 23,735.93 = 10,823.69 : x
  2. Step 2: Convert to fraction form
    17,207.21/23,735.93 = 10,823.69/x
  3. Step 3: Cross multiply
    17,207.21x = 23,735.93 × 10,823.69
  4. Step 4: Simplify right side
    17,207.21x = 256,910,175.38
  5. Step 5: Solve for x
    x = 256,910,175.38/17,207.21
  6. Step 6: Final answer
    x = 14,930.38

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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.