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Finding the Fourth Proportional to 17,490.78, 24,131.25 and 12,183.66

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Solution

The fourth proportional to 17,490.78, 24,131.25 and 12,183.66 is: 16,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490.78 : 24,131.25 = 12,183.66 : x
  2. Step 2: Convert to fraction form
    17,490.78/24,131.25 = 12,183.66/x
  3. Step 3: Cross multiply
    17,490.78x = 24,131.25 × 12,183.66
  4. Step 4: Simplify right side
    17,490.78x = 294,006,945.38
  5. Step 5: Solve for x
    x = 294,006,945.38/17,490.78
  6. Step 6: Final answer
    x = 16,809.25

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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.