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Finding the Fourth Proportional to 11,968.50, 17,924.88 and 11,553.24

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Solution

The fourth proportional to 11,968.50, 17,924.88 and 11,553.24 is: 17,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.50 : 17,924.88 = 11,553.24 : x
  2. Step 2: Convert to fraction form
    11,968.50/17,924.88 = 11,553.24/x
  3. Step 3: Cross multiply
    11,968.50x = 17,924.88 × 11,553.24
  4. Step 4: Simplify right side
    11,968.50x = 207,090,440.61
  5. Step 5: Solve for x
    x = 207,090,440.61/11,968.50
  6. Step 6: Final answer
    x = 17,302.96

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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.