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Finding the Fourth Proportional to 17,755.65, 24,503.99 and 10,204.43

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Solution

The fourth proportional to 17,755.65, 24,503.99 and 10,204.43 is: 14,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.65 : 24,503.99 = 10,204.43 : x
  2. Step 2: Convert to fraction form
    17,755.65/24,503.99 = 10,204.43/x
  3. Step 3: Cross multiply
    17,755.65x = 24,503.99 × 10,204.43
  4. Step 4: Simplify right side
    17,755.65x = 250,049,077.13
  5. Step 5: Solve for x
    x = 250,049,077.13/17,755.65
  6. Step 6: Final answer
    x = 14,082.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.