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Finding the Fourth Proportional to 11,467.90, 17,204.92 and 9,136.69

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Solution

The fourth proportional to 11,467.90, 17,204.92 and 9,136.69 is: 13,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.90 : 17,204.92 = 9,136.69 : x
  2. Step 2: Convert to fraction form
    11,467.90/17,204.92 = 9,136.69/x
  3. Step 3: Cross multiply
    11,467.90x = 17,204.92 × 9,136.69
  4. Step 4: Simplify right side
    11,467.90x = 157,196,063.53
  5. Step 5: Solve for x
    x = 157,196,063.53/11,467.90
  6. Step 6: Final answer
    x = 13,707.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.