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Finding the Fourth Proportional to 22,415.59, 33,622.17 and 6,832

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Solution

The fourth proportional to 22,415.59, 33,622.17 and 6,832 is: 10,247.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.59 : 33,622.17 = 6,832 : x
  2. Step 2: Convert to fraction form
    22,415.59/33,622.17 = 6,832/x
  3. Step 3: Cross multiply
    22,415.59x = 33,622.17 × 6,832
  4. Step 4: Simplify right side
    22,415.59x = 229,706,665.44
  5. Step 5: Solve for x
    x = 229,706,665.44/22,415.59
  6. Step 6: Final answer
    x = 10,247.63

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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.