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Finding the Fourth Proportional to 22,224.50, 33,336.76 and 9,076.86

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Solution

The fourth proportional to 22,224.50, 33,336.76 and 9,076.86 is: 13,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224.50 : 33,336.76 = 9,076.86 : x
  2. Step 2: Convert to fraction form
    22,224.50/33,336.76 = 9,076.86/x
  3. Step 3: Cross multiply
    22,224.50x = 33,336.76 × 9,076.86
  4. Step 4: Simplify right side
    22,224.50x = 302,593,103.37
  5. Step 5: Solve for x
    x = 302,593,103.37/22,224.50
  6. Step 6: Final answer
    x = 13,615.29

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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.