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Finding the Fourth Proportional to 23,203.77, 31,939.92 and 20,214.42

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Solution

The fourth proportional to 23,203.77, 31,939.92 and 20,214.42 is: 27,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.77 : 31,939.92 = 20,214.42 : x
  2. Step 2: Convert to fraction form
    23,203.77/31,939.92 = 20,214.42/x
  3. Step 3: Cross multiply
    23,203.77x = 31,939.92 × 20,214.42
  4. Step 4: Simplify right side
    23,203.77x = 645,646,957.65
  5. Step 5: Solve for x
    x = 645,646,957.65/23,203.77
  6. Step 6: Final answer
    x = 27,825.09

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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.