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Finding the Fourth Proportional to 17,755.83, 24,502.33 and 9,797.95

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Solution

The fourth proportional to 17,755.83, 24,502.33 and 9,797.95 is: 13,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.83 : 24,502.33 = 9,797.95 : x
  2. Step 2: Convert to fraction form
    17,755.83/24,502.33 = 9,797.95/x
  3. Step 3: Cross multiply
    17,755.83x = 24,502.33 × 9,797.95
  4. Step 4: Simplify right side
    17,755.83x = 240,072,604.22
  5. Step 5: Solve for x
    x = 240,072,604.22/17,755.83
  6. Step 6: Final answer
    x = 13,520.78

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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.