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Finding the Fourth Proportional to 17,755.21, 24,502.26 and 9,797.66

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Solution

The fourth proportional to 17,755.21, 24,502.26 and 9,797.66 is: 13,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.21 : 24,502.26 = 9,797.66 : x
  2. Step 2: Convert to fraction form
    17,755.21/24,502.26 = 9,797.66/x
  3. Step 3: Cross multiply
    17,755.21x = 24,502.26 × 9,797.66
  4. Step 4: Simplify right side
    17,755.21x = 240,064,763.72
  5. Step 5: Solve for x
    x = 240,064,763.72/17,755.21
  6. Step 6: Final answer
    x = 13,520.81

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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.