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Finding the Fourth Proportional to 23,035.38, 31,791.39 and 12,964.14

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Solution

The fourth proportional to 23,035.38, 31,791.39 and 12,964.14 is: 17,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.38 : 31,791.39 = 12,964.14 : x
  2. Step 2: Convert to fraction form
    23,035.38/31,791.39 = 12,964.14/x
  3. Step 3: Cross multiply
    23,035.38x = 31,791.39 × 12,964.14
  4. Step 4: Simplify right side
    23,035.38x = 412,148,030.75
  5. Step 5: Solve for x
    x = 412,148,030.75/23,035.38
  6. Step 6: Final answer
    x = 17,891.96

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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.