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Finding the Fourth Proportional to 22,512.64, 33,769.40 and 6,930.25

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Solution

The fourth proportional to 22,512.64, 33,769.40 and 6,930.25 is: 10,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.64 : 33,769.40 = 6,930.25 : x
  2. Step 2: Convert to fraction form
    22,512.64/33,769.40 = 6,930.25/x
  3. Step 3: Cross multiply
    22,512.64x = 33,769.40 × 6,930.25
  4. Step 4: Simplify right side
    22,512.64x = 234,030,384.35
  5. Step 5: Solve for x
    x = 234,030,384.35/22,512.64
  6. Step 6: Final answer
    x = 10,395.51

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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.