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Finding the Fourth Proportional to 23,770.97, 32,803.99 and 13,162.20

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Solution

The fourth proportional to 23,770.97, 32,803.99 and 13,162.20 is: 18,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.97 : 32,803.99 = 13,162.20 : x
  2. Step 2: Convert to fraction form
    23,770.97/32,803.99 = 13,162.20/x
  3. Step 3: Cross multiply
    23,770.97x = 32,803.99 × 13,162.20
  4. Step 4: Simplify right side
    23,770.97x = 431,772,521.26
  5. Step 5: Solve for x
    x = 431,772,521.26/23,770.97
  6. Step 6: Final answer
    x = 18,163.86

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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.