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Finding the Fourth Proportional to 18,493.14, 27,735.65 and 5,342.65

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Solution

The fourth proportional to 18,493.14, 27,735.65 and 5,342.65 is: 8,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.14 : 27,735.65 = 5,342.65 : x
  2. Step 2: Convert to fraction form
    18,493.14/27,735.65 = 5,342.65/x
  3. Step 3: Cross multiply
    18,493.14x = 27,735.65 × 5,342.65
  4. Step 4: Simplify right side
    18,493.14x = 148,181,870.47
  5. Step 5: Solve for x
    x = 148,181,870.47/18,493.14
  6. Step 6: Final answer
    x = 8,012.80

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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.