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Finding the Fourth Proportional to 18,499.24, 27,809 and 14,841.48

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Solution

The fourth proportional to 18,499.24, 27,809 and 14,841.48 is: 22,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.24 : 27,809 = 14,841.48 : x
  2. Step 2: Convert to fraction form
    18,499.24/27,809 = 14,841.48/x
  3. Step 3: Cross multiply
    18,499.24x = 27,809 × 14,841.48
  4. Step 4: Simplify right side
    18,499.24x = 412,726,717.32
  5. Step 5: Solve for x
    x = 412,726,717.32/18,499.24
  6. Step 6: Final answer
    x = 22,310.47

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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.