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Finding the Fourth Proportional to 23,772.88, 32,806.38 and 13,162.30

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Solution

The fourth proportional to 23,772.88, 32,806.38 and 13,162.30 is: 18,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.88 : 32,806.38 = 13,162.30 : x
  2. Step 2: Convert to fraction form
    23,772.88/32,806.38 = 13,162.30/x
  3. Step 3: Cross multiply
    23,772.88x = 32,806.38 × 13,162.30
  4. Step 4: Simplify right side
    23,772.88x = 431,807,415.47
  5. Step 5: Solve for x
    x = 431,807,415.47/23,772.88
  6. Step 6: Final answer
    x = 18,163.87

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Why These Related Problems?

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