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Finding the Fourth Proportional to 17,940, 24,757.32 and 10,866.48

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Solution

The fourth proportional to 17,940, 24,757.32 and 10,866.48 is: 14,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940 : 24,757.32 = 10,866.48 : x
  2. Step 2: Convert to fraction form
    17,940/24,757.32 = 10,866.48/x
  3. Step 3: Cross multiply
    17,940x = 24,757.32 × 10,866.48
  4. Step 4: Simplify right side
    17,940x = 269,024,922.63
  5. Step 5: Solve for x
    x = 269,024,922.63/17,940
  6. Step 6: Final answer
    x = 14,995.82

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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.