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Finding the Fourth Proportional to 27,702, 41,553.36 and 9,234

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Solution

The fourth proportional to 27,702, 41,553.36 and 9,234 is: 13,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 41,553.36 = 9,234 : x
  2. Step 2: Convert to fraction form
    27,702/41,553.36 = 9,234/x
  3. Step 3: Cross multiply
    27,702x = 41,553.36 × 9,234
  4. Step 4: Simplify right side
    27,702x = 383,703,726.24
  5. Step 5: Solve for x
    x = 383,703,726.24/27,702
  6. Step 6: Final answer
    x = 13,851.12

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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.