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Finding the Fourth Proportional to 23,978.22, 33,089.23 and 13,223.09

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Solution

The fourth proportional to 23,978.22, 33,089.23 and 13,223.09 is: 18,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.22 : 33,089.23 = 13,223.09 : x
  2. Step 2: Convert to fraction form
    23,978.22/33,089.23 = 13,223.09/x
  3. Step 3: Cross multiply
    23,978.22x = 33,089.23 × 13,223.09
  4. Step 4: Simplify right side
    23,978.22x = 437,541,791.90
  5. Step 5: Solve for x
    x = 437,541,791.90/23,978.22
  6. Step 6: Final answer
    x = 18,247.47

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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.