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Finding the Fourth Proportional to 23,315.22, 32,175 and 13,755.24

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Solution

The fourth proportional to 23,315.22, 32,175 and 13,755.24 is: 18,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,315.22 : 32,175 = 13,755.24 : x
  2. Step 2: Convert to fraction form
    23,315.22/32,175 = 13,755.24/x
  3. Step 3: Cross multiply
    23,315.22x = 32,175 × 13,755.24
  4. Step 4: Simplify right side
    23,315.22x = 442,574,847
  5. Step 5: Solve for x
    x = 442,574,847/23,315.22
  6. Step 6: Final answer
    x = 18,982.23

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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.