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Finding the Fourth Proportional to 18,338.43, 27,491.86 and 7,798.80

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Solution

The fourth proportional to 18,338.43, 27,491.86 and 7,798.80 is: 11,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338.43 : 27,491.86 = 7,798.80 : x
  2. Step 2: Convert to fraction form
    18,338.43/27,491.86 = 7,798.80/x
  3. Step 3: Cross multiply
    18,338.43x = 27,491.86 × 7,798.80
  4. Step 4: Simplify right side
    18,338.43x = 214,403,517.77
  5. Step 5: Solve for x
    x = 214,403,517.77/18,338.43
  6. Step 6: Final answer
    x = 11,691.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.