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Finding the Fourth Proportional to 24,076.60, 33,223.38 and 14,004.52

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Solution

The fourth proportional to 24,076.60, 33,223.38 and 14,004.52 is: 19,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.60 : 33,223.38 = 14,004.52 : x
  2. Step 2: Convert to fraction form
    24,076.60/33,223.38 = 14,004.52/x
  3. Step 3: Cross multiply
    24,076.60x = 33,223.38 × 14,004.52
  4. Step 4: Simplify right side
    24,076.60x = 465,277,489.68
  5. Step 5: Solve for x
    x = 465,277,489.68/24,076.60
  6. Step 6: Final answer
    x = 19,324.88

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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.