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Finding the Fourth Proportional to 23,907.39, 32,992.91 and 13,297.69

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Solution

The fourth proportional to 23,907.39, 32,992.91 and 13,297.69 is: 18,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.39 : 32,992.91 = 13,297.69 : x
  2. Step 2: Convert to fraction form
    23,907.39/32,992.91 = 13,297.69/x
  3. Step 3: Cross multiply
    23,907.39x = 32,992.91 × 13,297.69
  4. Step 4: Simplify right side
    23,907.39x = 438,729,489.38
  5. Step 5: Solve for x
    x = 438,729,489.38/23,907.39
  6. Step 6: Final answer
    x = 18,351.21

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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.