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Finding the Fourth Proportional to 23,978.24, 33,090.02 and 13,367.65

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Solution

The fourth proportional to 23,978.24, 33,090.02 and 13,367.65 is: 18,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.24 : 33,090.02 = 13,367.65 : x
  2. Step 2: Convert to fraction form
    23,978.24/33,090.02 = 13,367.65/x
  3. Step 3: Cross multiply
    23,978.24x = 33,090.02 × 13,367.65
  4. Step 4: Simplify right side
    23,978.24x = 442,335,805.85
  5. Step 5: Solve for x
    x = 442,335,805.85/23,978.24
  6. Step 6: Final answer
    x = 18,447.38

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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.