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Finding the Fourth Proportional to 23,891.38, 32,971.89 and 13,283.62

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Solution

The fourth proportional to 23,891.38, 32,971.89 and 13,283.62 is: 18,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.38 : 32,971.89 = 13,283.62 : x
  2. Step 2: Convert to fraction form
    23,891.38/32,971.89 = 13,283.62/x
  3. Step 3: Cross multiply
    23,891.38x = 32,971.89 × 13,283.62
  4. Step 4: Simplify right side
    23,891.38x = 437,986,057.44
  5. Step 5: Solve for x
    x = 437,986,057.44/23,891.38
  6. Step 6: Final answer
    x = 18,332.39

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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.