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Finding the Fourth Proportional to 19,617.50, 27,072.42 and 11,234

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Solution

The fourth proportional to 19,617.50, 27,072.42 and 11,234 is: 15,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,617.50 : 27,072.42 = 11,234 : x
  2. Step 2: Convert to fraction form
    19,617.50/27,072.42 = 11,234/x
  3. Step 3: Cross multiply
    19,617.50x = 27,072.42 × 11,234
  4. Step 4: Simplify right side
    19,617.50x = 304,131,566.28
  5. Step 5: Solve for x
    x = 304,131,566.28/19,617.50
  6. Step 6: Final answer
    x = 15,503.07

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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.