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Finding the Fourth Proportional to 23,772.78, 32,805.09 and 13,162.14

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Solution

The fourth proportional to 23,772.78, 32,805.09 and 13,162.14 is: 18,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.78 : 32,805.09 = 13,162.14 : x
  2. Step 2: Convert to fraction form
    23,772.78/32,805.09 = 13,162.14/x
  3. Step 3: Cross multiply
    23,772.78x = 32,805.09 × 13,162.14
  4. Step 4: Simplify right side
    23,772.78x = 431,785,187.29
  5. Step 5: Solve for x
    x = 431,785,187.29/23,772.78
  6. Step 6: Final answer
    x = 18,163.01

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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.