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Finding the Fourth Proportional to 22,640.18, 33,965.06 and 6,846.39

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Solution

The fourth proportional to 22,640.18, 33,965.06 and 6,846.39 is: 10,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,640.18 : 33,965.06 = 6,846.39 : x
  2. Step 2: Convert to fraction form
    22,640.18/33,965.06 = 6,846.39/x
  3. Step 3: Cross multiply
    22,640.18x = 33,965.06 × 6,846.39
  4. Step 4: Simplify right side
    22,640.18x = 232,538,012.90
  5. Step 5: Solve for x
    x = 232,538,012.90/22,640.18
  6. Step 6: Final answer
    x = 10,271.03

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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.