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Finding the Fourth Proportional to 18,542.80, 25,597.32 and 11,837.28

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Solution

The fourth proportional to 18,542.80, 25,597.32 and 11,837.28 is: 16,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.80 : 25,597.32 = 11,837.28 : x
  2. Step 2: Convert to fraction form
    18,542.80/25,597.32 = 11,837.28/x
  3. Step 3: Cross multiply
    18,542.80x = 25,597.32 × 11,837.28
  4. Step 4: Simplify right side
    18,542.80x = 303,002,644.09
  5. Step 5: Solve for x
    x = 303,002,644.09/18,542.80
  6. Step 6: Final answer
    x = 16,340.72

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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.