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Finding the Fourth Proportional to 17,817.30, 24,561.63 and 13,093.38

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Solution

The fourth proportional to 17,817.30, 24,561.63 and 13,093.38 is: 18,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.30 : 24,561.63 = 13,093.38 : x
  2. Step 2: Convert to fraction form
    17,817.30/24,561.63 = 13,093.38/x
  3. Step 3: Cross multiply
    17,817.30x = 24,561.63 × 13,093.38
  4. Step 4: Simplify right side
    17,817.30x = 321,594,755.01
  5. Step 5: Solve for x
    x = 321,594,755.01/17,817.30
  6. Step 6: Final answer
    x = 18,049.58

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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.