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Finding the Fourth Proportional to 23,186, 31,996.68 and 13,251.92

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Solution

The fourth proportional to 23,186, 31,996.68 and 13,251.92 is: 18,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186 : 31,996.68 = 13,251.92 : x
  2. Step 2: Convert to fraction form
    23,186/31,996.68 = 13,251.92/x
  3. Step 3: Cross multiply
    23,186x = 31,996.68 × 13,251.92
  4. Step 4: Simplify right side
    23,186x = 424,017,443.63
  5. Step 5: Solve for x
    x = 424,017,443.63/23,186
  6. Step 6: Final answer
    x = 18,287.65

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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.