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Finding the Fourth Proportional to 17,821.63, 24,593.48 and 9,863.38

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Solution

The fourth proportional to 17,821.63, 24,593.48 and 9,863.38 is: 13,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.63 : 24,593.48 = 9,863.38 : x
  2. Step 2: Convert to fraction form
    17,821.63/24,593.48 = 9,863.38/x
  3. Step 3: Cross multiply
    17,821.63x = 24,593.48 × 9,863.38
  4. Step 4: Simplify right side
    17,821.63x = 242,574,764.95
  5. Step 5: Solve for x
    x = 242,574,764.95/17,821.63
  6. Step 6: Final answer
    x = 13,611.26

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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.